WO2005022562A1

WO2005022562A1 - Superconducting film and method of manufacturing the same

Info

Publication number: WO2005022562A1
Application number: PCT/JP2004/012781
Authority: WO
Inventors: Kaname Matsumoto; Masashi Mukaida; Yutaka Yoshida; Ataru Ichinose; Shigeru Horii
Original assignee: Japan Science And Technology Agency; Central Research Institute Of Electric Power Industry
Priority date: 2003-08-29
Filing date: 2004-08-27
Publication date: 2005-03-10
Also published as: CN1842878B; JP4495426B2; US20100267568A1; CN1842878A; EP1658625A1; US8148300B2; JP2005078939A; KR100755943B1; KR20060039026A; EP1658625A4; EP1658625B1; US20060258539A1; US7772157B2

Abstract

The present invention relates to a superconducting film having a substrate and a superconductor layer formed on the substrate, in which nano grooves are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed and two-dimensional crystal defects are introduced in the superconductor layer on the nano grooves, and a method of manufacturing this superconducting film. A superconducting film of the invention, which is obtained at low cost and has very high Jc, is useful in applications such as cables, magnets, shields, current limiters, microwave devices, and semifinished products of these articles.

Description

DESCRIPTION

SUPERCONDUCTING FILM AND METHOD OF MANUFACTURING THE SAME

TECHNICAL FIELD The present invention relates to superconducting thin and thick films having a high critical current density in a magnetic field which can be used in the filed of cables, magnets, shields, current limiters, microwave devices, semifinished products of these articles and the like and a method of manufacturing the films .

BACKGROUND ART When a magnetic field of not less than a lower critical magnetic field H_cl is applied to a superconductor, quantized flux lines (φ₀ = 2.07 x 10^"15 Wb) are formed and penetrate into the superconductor. When a current is caused to flow in this state, the Lorentz force acts on the quantized flux lines. When these quantized flux lines begin to move, a voltage is generated and the superconducting state is broken. It is known that , for example , in a superconducting film formed from a high-temperature oxide superconductor YBa₂Cu₃0₇._x(YBCO) , dot-like defects such as naturally introduced oxygen deficiency and fine impurities function as pinning centers of quantized flux lines. Furthermore, it is known that one-dimensional defects such as dislocations and two-dimensional defects such as crystal grain boundaries function also as pinning centers. In this case of YBCO, it is important that these crystal defects be present perpendicular to the filmplane . In general, YBCO-based high temperature superconductors are materials which have high crystal anisotropy and, therefore, when a magnetic field is applied parallel to the c-axis of a crystal, Jc tends to decrease greatly compared to a case where a magnetic field is applied perpendicularly to the c-axis. A usually used YBCO thin film is formed so that the c-axis is perpendicular to the film plane(surface) , and, therefore, Jc decreases greatly when a magnetic field is applied perpendicularly to the film plane(surface) . When a superconducting tape abricatedfromaYBCO thin filmisusedto formacoil, magnetic field components of low Jc parallel to the σ-axis govern coil properties, since a parallel magnetic field and a perpendicular magnetic field are applied to the tape. However, when one-dimensional defects or crystal grain boundaries are present in a direction parallel to the c-axis , they become pinning centers of quantized flux lines and Jc in this direction is improved. Therefore, the crystal orientation of one-dimensional defects or crystal grain boundaries is very important for improvement in coil properties. In contrast, this does not apply to dot-like defects etc. since they are isotropic. The relationship between the dislocation density in a YBCO film and Jc has been reported by Dam (see B. Dam et al. , Nature, Vol. 399, p439, 1999). According to the report, dislocation densities of 10 μπf² to 100 μm^"2 can be obtained by changing film forming conditions in various ways and Jc increases with increasing dislocation density, although it is difficult to control the density per unit area of dislocations which are naturally introduced during film growth. Crystal grain boundaries function not only as pinning centers, but also as barriers of superconducting currents. In fact, in a high temperature superconducting film of YBCO etc . , Jc is very small in a grain boundary having a large inclination (the angle of a grain boundary to a normal line of the ab-plane of YBCO) , but large Jc is maintained when the inclination is low. A low angle grain boundary can be regarded as a dislocation array. Although a dislocation is an insulator (non-superconductor) , in a low angle grain boundary having a large spacing between dislocations, a strongly-coupled superconducting part exists between dislocations and a large superconducting current flows through the low angle grain boundary. However, when the inclination increases and the strains of dislocations begin to overlap, the current becomes less likely to flow. If boundary planes are parallel to a current flowing direction, they become very effective pinning centers. In general, however, boundary planes exist randomly, it is difficult to control Jc by controlling the inclination of boundary planes . On the other hand, fine precipitates having a size close to thecoherent lengthofthe superconductorarealsoeffective as pinning centers. Furthermore, artificial defects introduced by lithography and columnar crystal defects introduced by electron beam irradiation and heavy ion irradiation also become pinning centers . There is a possibility that desired pinning centers can be introduced by lithography in a film. In a case where electron beam exposure is used, there is a report that the pin diameter can be decreased to the order of 10 to 20 nm, although it has not been able to reduce the pin diameter to the nano level. Also, the pin spacing can be adjusted to the same extent . Examples of measurement experiment of critical currents show that some peaks appear in superconducting properties in magnetic field depending on the relationship between quantized flux lines and pin arrangement (see J. Y. Lin et al., Phys. Rev. B54, R12712, 1996) . Although this method is effective in artificial pin introduction, from a practical viewpoint, the throughput is low and the cost is too high for a large area fabrication and for wire fabrication. In heavy ion irradiation and the like, columnar defects are formed in superconducting crystals and this is effective in improving Jc . However, the equipment cost and the cost of ion acceleration are very high. Furthermore, in some cases materials are radioactivated and hence these methods are not practical. In order to introduce crystal defects such as dislocations in a film, there is also available a method by which island-like crystals such as nano dots are formed on a substrate surface and a superconducting film is formed on the island-like crystals . There is an exemplary report that , in this case, Jc is improved by forming nano dots of Ag on a substrate (see A. Crisan et al., Appl. Phys. Lett., Vol. 79, p4547, 2001). A literature of Dam suggests a principle that when fine precipitates exist in the process of growth of a film on a substrate, the continuity of film growth is lost on the fine precipitates, resulting in crystal defects, dislocations andgrainboundaries (see B. Damet al. , Physica C341-348, p2327, 2000). According to these techniques, however, the arrangement of introduced defects is random and the pinning force is averaged. Therefore, these techniques have their limits in drastically improving Jc.

DISCLOSURE OF THE INVENTION An object of the present invention is to provide a structure of ideal pinning centers in a superconducting film which is formed on a substrate and a method of introducing the pinning centers. Another object of the invention is to provide, at low cost, a technique for increasing Jc which can be applied to all Type II superconductors of film shape. A superconducting film of the first embodiment of the invention has a substrate and a superconductor layer formed on the substrate, in which nano grooves are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed and two-dimensional crystal defects are introduced in the superconductor layer on the nano grooves. Each of the two-dimensional crystal defects may be continuous in a current flowing direction, it may be an array of discontinuous two-dimensional crystal defects , oritmaybe irregularlydistributedonthe substrate . The two-dimensional crystal defects may be crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting the superconductor layer, nonsuperconductors or low critical temperature superconductors. Preferably, the nano grooves may have a width of not more than 100 nm and a depth of not more than 100 nmandthe average center to centerdistance of the adjacent nano grooves in a direction perpendicular to a current flowing direction may be not more than 500 nm. The substrate may be a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure , apyrochlore type crystal structure , and the like. Alternatively, the substrate may be an oxide substrate, a nitride substrate, a semiconductor substrate. a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer made of the above-cited oxide or a boride is formed. The superconductor layer may be formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+x where, Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5 < x < 0.2; copper oxide-based high temperature superconducting materials having a chemical formula of (Biι__xPb_x)₂Sr₂Ca_n__αCu_n0_2n+4+y, where 0 < x < 0.4, -0.5 < y< 0.5 and n = 1 , 2 or 3 ; and superconducting materials which contain MgB₂ as amain component. Also, the superconductor layer may be formed from a plurality of layers and nano grooves may be formed in each of the plurality of layers except a top layer. A superconducting film of the second embodiment of the invention has a substrate and a superconductor layer formed on the substrate, in which nano grooves are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed, defect inducing parts areformedonthenano grooves , andthe two-dimensionalcrystal defects are introduced in the superconductor layer on the defect inducing parts. Each of the two-dimensional crystal defects may be continuous in a current flowing direction, it may be an array of discontinuous two-dimensional crystal defects , oritmaybe irregularlydistributedonthe substrate . The two-dimensional crystal defects may be crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting the superconductor layer, nonsuperconductors or low critical temperature superconductors. Preferably, the nano grooves may have a width of not more than 100 nm and a depth of not more than 100 n and the center to center distance of the adjacent nano grooves in a direction perpendicular to a current flowing direction may be not more than 500 nm. The substrate may be a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, a yrochlore type crystal structure . Alternatively, the substrate may be an oxide substrate, a nitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer made of the above-cited oxide or a boride is formed. The superconductor layer may be formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+x, where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5<x<0.2; copper oxide-based high temperature superconductingmaterials having a chemical formula of (Bi₁__xPb_x)₂Sr₂Ca_n.₁Cu_nθ2n₊4_+y, where 0<x<0.4, -0.5 < y < 0.5 and n = 1, 2 or 3; and superconducting materials which contain MgB₂ as a main component . The defect inducing parts may be formed from a metal, an intermetallic compound, a nitride or an oxide. Also, the superconductor layer may be formed from a plurality of layers and nano grooves may be formed in each of the plurality of layers except a top layer. A superconducting film of the third embodiment of the invention has a substrate and a superconductor layer formed on the substrate, in which rows of nano holes are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed and rows of one-dimensional crystal defects are introduced in the superconductor layer on the nano holes . Each of the rows of one-dimensional crystal defects may be a row of one-dimensional crystal defects which is continuous in a current flowing direction, it may be an array of discontinuous row of one-dimensional crystal defects, or it may be irregularly distributed on the substrate . The one-dimensional crystal defects may be crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting the superconduσtior layer, nonsuperconductors or low critical temperature superconductors. Preferably, the nano holes may have a diameter of not more than 100 nm and the center to center distance of the adjacent nano holes in a direction perpendicular to a current flowing direction may be not more than 500 nm. The substrate may be a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, anyttrium stabilized zirconia type structure, a fluorite type crystal structure, arare earthC type crystal structure, apyrochlore type crystal structure. Alternatively, the substrate may be an oxide substrate, a nitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloysubstrateoran iron-basedalloysubstrate onthe surface of which a buffer layer made of the above-cited oxide or a boride is formed. The superconductor layer may be formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+Xι where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5 < x < 0.2; copper oxide-based high temperature superconducting materials having a chemical formula of (Bi_1-._xPb_x)₂Sr₂Ca_n.₁Cu_nθ2n+4+_y, where 0 < x < 0.4, -0.5 < y < 0.5 and n = 1 , 2 or 3 ; and superconducting materials which contain MgB₂ as a main component . Also, the superconductor layer may be formed from a plurality of layers and nano holes may be formed in each of the plurality of layers except a top layer. A superconducting film of the fourth embodiment of the invention has a substrate and a superconductor layer formed on the substrate, in which rows of nano holes are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed, defect inducing parts are formed on the nanoholes , androws of one-dimensional crystal defects are introduced in the superconductor layer on the defect inducing parts . Each of the rows of one-dimensional crystal defects may be a row of one-dimensional crystal defects which is continuous in a current flowing direction, it maybe an array of discontinuous row of one-dimensional crystal defects, or it may be irregularly distributed on the substrate. The one-dimensional crystal defects may be crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting the superconductor layer, nonsuperconductors or low critical temperature superconductors. Preferably, the nano holes may have a diameter of not more than 100 nm and the average center to center distance of the adjacent nano holes in a direction perpendicular to a current flowing direction may be not more than 500 nm. The substrate may be a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, anyttrium stabilized zirσonia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, a pyrochlore type crystal structure . Alternatively the substrate may be an oxide substrate, a nitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloysubstrateoran iron-basedalloysubstrateon the surface of which a buffer layer made of the above-cited oxide or a boride is formed. The superconductor layer may be formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+x# where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5 < x < 0.2; copper oxide-based high temperature superconducting materials having a chemical formula of

(Bi₁__xPb_x)2Sr₂Ca_n.₁Cu_nθ2n+4₊y, where 0 < x< 0.4, -0.5 < y< 0.5 and n = 1 , 2 or 3 ; and superconducting materials which contain MgB₂ as a main component . The defect inducing parts may be formed from a metal, an intermetallic compound, a nitride or an oxide. Also, the superconductor layer may be formed from a plurality of layers and nano holes may be formed in each of the plurality of layers except a top layer. Superconducting films of the first andsecondembodiments of the invention can be manufactured by a method comprising the steps of forming nano grooves on a substrate, optionally forming defect inducing parts on the nano grooves , and growing a superconductor layer on the substrate. The step of forming nano groovesmaybeperformedbymechanicalpolishing, etching, nano imprint, AFM in processing mode or nano lithography. Preferably, the nano grooves may be formed in such a manner that the nano grooves have a width of not more than 100 nm and a depth of not more than 100 nm and the average center to center distance of the adjacent nano grooves in a direction perpendicular to a current flowing direction is not more than 500nm. On theotherhand, the stepof formingasuperconductor layer may be performed by PLD, evaporation, sputtering, CVD, MBE or MOD process. Furthermore, the step of forming defect inducing parts may be performed by PLD, evaporation, sputtering, CVD or MBE process. Superconductingfilms of the thirdandfourthembodiments of the invention can be manufactured by a method comprising the steps of forming rows of nano holes on a substrate, optionally forming defect inducing parts on the nano holes, and growing a superconductor layer on the substrate. The step of forming rows of nano holes may be performed by mechanical polishing, etching, nano imprint, atomic force microscopy (AFM) in processing mode or nano lithography. Preferably, the nano holes may be formed in such a manner that the nano holes have a diameter of not more than 100 nm and the average center to center distance of the adjacent rows of nano holes in a direction perpendicular to a current lowing direction is not more than 500 nm. On the other hand. the step of forming a superconductor layer may be performed by pulsed laser deposition (PLD), evaporation, sputtering, chemicalvapor deposition (CVD) , molecularbeamepitaxy (MBE) ormetal-organicdeposition (MOD) process. Furthermore, the step of forming defect inducing parts may be performed by PLD, evaporation, sputtering, CVD or MBE process. According to the present invention configured as described above, strong pinning centers having excellent pinning efficiency can be introduced into a superconducting film, and a superconducting film having very high Jc can be manufactured at low cost . Since the pinning centers introduced into a superconducting film of the invention are aligned in a current flowing direction, these pinning centers will not impede a current flowing path. Therefore, a superconducting film of the invention is useful in applications which require flowing large currents, such as cables, magnets, shields, current limiters, microwave devices, and semifinished products of these articles. The above and other objects, effects, features and advantages of the present invention will become more apparent from the following description of the embodiments thereof taken in conjunction with the accompanying drawings.

BRIEF DESCRIPTION OF THE DRAWINGS Figure 1 is a sectional view, in perspective, of a superconducting filmof the first embodiment of the invention; Figure 2 is a sectional view, in perspective, of a superconducting film of the second embodiment of the invention; Figure 3 is a sectional view, in perspective, of a superconductingfilmof the thirdembodiment of the invention; Figure 4 is a sectional view, in perspective, of a superconducting film of the fourth embodiment of the invention; Figure 5A is a schematic top view of an example of the arrangement of nano grooves in a superconducting film of the invention in which the nano grooves are continuous; Figure 5B is a schematic top view of an example of the arrangement of nano grooves in a superconducting film of the invention in which the nano grooves are discontinuous; Figure 5C is a schematic top view of an example of the arrangement of nano grooves in a superconducting film of the invention in which the nano grooves are irregularly arranged; Figure 6A is a schematic top view of an example of the arrangement of nano holes in a superconducting film of the invention in which rows of the nano holes are continuous; Figure 6B is a schematic top view of an example of the arrangement of nano holes in a superconducting film of the invention in which rows of the nano holes are discontinuous; and Figure 6C is a schematic top view of an example of the arrangement of nano holes in a superconducting film of the invention in which rows of the nano holes are irregularly arranged.

BEST MODE FOR CARRYING OUT THE INVENTION A superconducting film of the first embodiment of the invention is shown in Figure 1. The superconducting film of Figure 1 has a substrate 1 and a superconductor layer 3 formed on the substrate 1. Nano grooves 2 are formedparallel to a current flowing direction on a substrate surface where the superconductor layer 3 is formed, and two-dimensional crystal defects 4 are introduced in the superconductor layer on the nano grooves 2. The two-dimensional crystal defects 4 function as two-dimensional pinning centers. As the substrate 1 may be used a substrate of an oxide having perovskite type crystals, such as SrTi0₃ and LaA10₃; rock-salt type crystals, such as MgO and NiO; spinel type crystals, such as MgAl₂0₄; yttrium stabilized zirconia; fluorite type crystals, such as Ce0₂; rare earth C type crystals; and pyrochlore type crystals. Alternatively, substrates with a buffer layer may be used as the substrate 1 : wherein the substrates on which the buffer layer is formed may be a substrate of the above oxides, a nitride substrate, a semiconductor substrate, a substrate of pure nickel, a nickel-based alloy substrate of Ni-Cr, Ni-W and the like, a substrate of pure copper, a copper-based alloy substrate of Cu-Ni and the like, or an iron-based alloy substrate of Fe-Si, stainless steel and the like; and wherein the buffer layer, which is formed on the surface of the substrate, may be made of the above-cited oxide or a boride (MgB₂ etc.). By using such substrates, it becomes possible to form a superconductor layer 3 comprising a superconductor which is c-axis oriented on the surface of the substrate 1. The nano grooves 2 are a plurality of grooves formed in the substrate 1, and have a width of not more than 100 nm, and preferably 5 nm to 50 nm, and a depth of not more than 100 nm, and preferably 5 nm to 50 nm. It is desirable that the width of the nano grooves be larger than the diameter of quantized flux lines (twice the coherent length ξ of the superconducting material) , depending on the superconducting material constituting the superconductor layer 3. It is desirable that the average center to center distance of the plurality of nano grooves in a direction perpendicular to a current flowing direction be smaller than the lattice constant of quantized flux line lattice a_f ( = 1.07 x (f₀/B)^1/2, B denotes amagnetic field applied to the superconductor layer 3 ) . The average center to center distance of the nano grooves is usually not more than 500 nm, preferably 15 nm to 300 nm, and more preferably 20 nm to 200 nm, depending on applied magnetic field B. When the nano grooves have widths, depths and average center to center distances in the above-described ranges, the quantized flux lines in the superconductor layer can be efficiently pinned. Eachof the nano grooves 2 maybe continuous in the current flowing direction of the superconducting film (see Figure 5A) or may be an array of discontinuous grooves(see Figure 5B) . It is desirable that the distance between two nano grooves in a discontinuous part in a current flowingdirection be smaller than the lattice constant of quantized flux line lattice a_f in the superconductor layer 3. This distance is usually not more than 500 nm, preferably 15 nm to 300 nm, and more preferably 20 nm to 200 nm, depending on a magnetic field B applied to the superconductor layer 3. Alternatively, the plurality of nano grooves 2 may be irregularly arranged on the substrate 1, provided that the major axis of the nano grooves is parallel to a current flowing direction (see Figure 5C) . Also in this case, it is desirable that the average center to center distance of the nano grooves be within the above-described ranges. Furthermore, when nano grooves 2 are discontinuous or irregularly arranged, it is desirable that discontinuous parts be not align in a direction perpendicular to a current flowing direction. This is because if the discontinuous parts are aligned in this direction, the pinning effect of the quantized flux lines decreases in these parts. The materials which constitute the superconductor layer 3 may be copper oxide-based high temperature superconducting materials having the chemical formula of LnBa₂Cu₃0_7+x where, Ln is one or more elements selected from the group consisting of Y element and rare earth elements (elements with atomic number 57 to 71) and -0.5 < x < 0.2; copper oxide-based high temperature superconducting materials having the chemical formula of (Bi₁__xPb_x)₂Sr₂Ca_n._ιCu_n0_4+y, where 0 < x < 0.4, -0.5 < y < 0.5 and n = 1, 2 or 3; or superconducting materials which contain MgB₂ as a main component . Superconducting materials which containMgB₂ as amain component in the present invention mean MgB₂ which may contain carbon, oxygen or SiC etc. as impurities. These materials are deposited onto a surface of substrate 1 in a c-axis oriented state (the c-axis of these materials is parallel to the normal line of the substrate surface) to form the superconductor layer 3 having a superconducting plane parallel to the substrate plane . The superconductor layer 3 usually has a film thickness in a range of 0.1 μm to 10 μm and preferably in a range of 0.1 μm to 5 μm. The nano grooves 2 on the substrate 1 can be formed by using mechanical polishing (nano scratching) , etching, nano imprint, AFM in processing mode or nano lithography. A preferred method includes nano scratching, nano imprint and AFM in processing mode. For example, nano scratching and nano imprint canbeperformedbypolishingwithabrasive grains of diamond etc. in a current flowing direction; or pressing a jig provided with microprotrusions having a desired shape and intervals against the substrate 1 and then moving the jig in a current flowing direction. Alternatively, the nano grooves 2 can be formed by continuously processing the substrate with an AFM in which a high voltage is applied to a probe. The superconductor layer 3 can be formed by using PLD, evaporation, sputtering, CVD, MBE or MOD process. When the superconductor layer 3 is formed on a surface of the substrate 1 provided with the nano grooves 2 , a film which has grown on a flat portion and a film formed on the nano grooves 2 have different crystal orientations. Therefore, it follows that, in an area where the two meets, dislocations and/or crystal grain boundaries are formed. Furthermore, on the nano grooves, there is a possibility that amorphous bodies are formed, or alternatively, crystals having many defects are formed due to the occurrence of compositional variation. As a result, a layer of a nonsuperconductor or a layer of a low critical temperature superconductor is formed on the nano grooves 2. In this specification, the dislocations, crystal grain boundaries, amorphous bodies, nonsuperconductors and low critical temperature superconductors in the superconductor layer 3 are collectively called "crystal defects." These crystal defects will not disappear with the growth of a film and form two-dimensional crystal defects 4 continuing from the nano grooves 2 on the substrate to the surface of the superconductor layer 3. Although it is not always necessary for the two-dimensional crystal defects 4 to be perpendicular to the substrate plane, it is desirable that the two-dimensional crystal defects 4 be present at an angle close to an angle perpendicular to the substrate plane . These two-dimensional crystal defects 4, which have no superconducting properties or have poor superconducting properties, function as two-dimensional pinning centers. According to this arrangement, the two-dimensional crystal defects 4 are arranged parallel to a current flowing direction and, therefore, they do not impede the flow of a current . When a magnetic field is applied to the superconductor layer 3 perpendicularly thereto, quantized flux lines tend to move toward the two-dimensional crystal defects 4. This is because the Lorentz force acting on the quantized flux lines works in a direction parallel to the substrate plane and orthogonal to the flow of a current . However, two-dimensional pinning centers (two-dimensional crystal defects 4) can work to pin all quantized flux lines, since the two-dimensional crystal defects 4 of the invention pin even quantized flux lines which tend to move by overcoming the interaction in flux line lattices. Compared to dot-like pinning centers such as oxygen deficiency and impurities or one-dimensional pinning centers such as dislocations and columnar defects which are distributed randomly, the two-dimensional pinning centers of the invention, which are regularly arranged in a current flowing direction, have very high pinning efficiency. The above-described effect is attributed to the issue of dimensionality that pinning with two-dimensional pinning centers is superior in pinning quantized flux lines which have a string shape. Since the two-dimensional pinning center of the invention (two-dimensional crystal defects 4) can pin a larger number of quantized flux lines with a smaller number of pinning centers , and thereby Jc in a magnetic field is improved. Furthermore, the two-dimensional crystal defects 4 workveryeffectivelywithout interruptingacurrent pathcontraryto general grainboundaries whichoccurrandomly in a superconductor layer, since they are parallel to a current flowing direction. Although the two-dimensional crystal defects 4 desirably extend continuously in a current flowing direction, it is not always necessary that theybe continuous , and they may be discontinuous as described above. The same effect is obtained even when discontinuous two-dimensional defects are irregularly distributed on a substrate, provided that the major axis direction of discontinuous two-dimensional defects is parallel to a current flowing direction. The thickness of the two-dimensional crystal defects 4 can be controlled by adjusting the width of the nano grooves 2. Since the two-dimensional crystal defects 4 are dislocations, grain boundaries, amorphous bodies, nonsuperconductors or superconductors having a low critical temperature, they have the pinning interaction of quantized flux lines. Furthermore, the magnitude of the pinning force can be controlled, by controlling the size of the two-dimensional crystal defects 4 to adjust the depth of the pinning potential and the potential steepness . The pinning energy of quantized flux lines per unit length is expressed by (1/2 μ₀)Bc² x πξ ² where μ₀ is magnetic permeability in a vacuum. Be is the thermodynamic critical magnetic field of the material for the superconductor layer 3, and ξ is the coherent length. The length of ξ is temperature dependent. Therefore, when the size of anoptimumpinningcenter (two-dimensionalcrystal defect 4) varies with the working temperature of a superconducting film, an optimum value of the pinning force can be selected by changing the width and average center to center spacing of the nano grooves . As an alternative to this first embodiment, a superconducting material may be used as a buffer layer. That is, after a thin buffer layer of a superconducting material is first formed on a substrate 1 , nano grooves 2 are formed by the same method as described above and a superconductor layer 3 may be formed thereafter. Also in this case, two-dimensional crystal defects 4 are formed in the superconductor layer 3 on the nano grooves 2. It is preferred that usable superconducting materials be the same oxide as the material for the superconductor layer 3 or a boride . For example, when the superconductor layer 3 is formed from LnBa₂Cu₃0_7+x, a buffer layer may be formed from the same LnBaCu₃0_7+x or may be formed from a material in which only Ln is replaced. A buffer layer in an area where no nano groove is formed has the effect of facilitating the epitaxial growth of the superconductor layer 3 in this area, since this buffer layer is a superconducting film of the same type as the superconductor layer 3. As another alternative to this first embodiment, a superconductor layer 3 maybe ormed fromapluralityof layers and nano grooves may be formed in each of the plurality of layers except a top layer. This alternative embodiment is suitable for introducing two-dimensional crystal defects 4 at a predetermined density in a case where the superconductor layer 3 is thick and the distribution of two-dimensional crystal defects decreases as the formation of the superconductor layer 3 progresses.

A superconducting film of the second embodiment of the invention is shown in Figure 2. The superconducting film of Figure 2 has a substrate 1 in which nano grooves 2 are formed parallel to a current flowing direction on the surface where a superconductor layer 3 is formed, defect inducing parts 5 formed on the nano grooves 2, and the superconductor layer 3 formed on the substrate 1 and the defect inducing parts 5 , and two-dimensional crystal defects 4 are introduced in the superconductor layer 3 on the defect inducing parts 5. The two-dimensional crystal defects 4 function as two-dimensional pinning centers. The substrate 1, the nano grooves 2 and the superconductor layer 3 are the same as in the first embodiment. The defect inducing parts 5 are formed from plate-like crystals or series of island-like crystals . The nano grooves 2 function as preferential nucleation sites, and thereby, the defect inducing parts 5 are formed on the nano grooves 2. Usable materials include, for example, metals such as Ag and Pt (it is desirable that the metals have a high melting point); intermetallic compounds such as AgY andPt₃Y; nitrides such as GdN and YN; and oxides such as Y₂0₃ and Ce0₂. Although in the present invention, it is preferred that the defect inducing parts 5 be formed from a material different from that of the substrate 1, the defect inducing parts 5 may be ormedfromamaterialwhichis of the samekindas thesubstrate 1 but has a different crystal orientation. The defect inducing parts 5 can be formed by depositing the above-described materials on the substrate 1 by a method selected from PLD, evaporation, sputtering CVD and MBE. In this case, suchmaterials nucleate and grow on the nano grooves 2, since the nano grooves 2 are preferential nucleation sites compared to the flat substrate 1. By adjusting the material supply time, film forming time and film forming temperature, plate-like crystals or series of island-like crystals of an appropriate size can be formed on the nano grooves 2. Whether crystals grow in a plate form or in an island form is adjusted by appropriately selecting the wettability of the substrate 1 with the above-described materials . Unlikenano dotswhichare formedrandomlyon a substrate, - the defect inducing parts 5 are regularly arranged so that their shape becomes parallel to a current flowing direction, and in this respect the invention is greatly different from prior art . Since the smoothness of the surfaces of the de ect inducing parts 5, and/or the deposition rate, crystal orientation, etc. of a superconducting material on the surfaces of the defect inducing parts 5 are different from those of the substrate 1, the two-dimensional crystal defects 4 are formed in the superconductor layer 3 formed on the defect inducing parts 5. These two-dimensional crystal defects 4 function as two-dimensionalpinningcenters in the samemanner as in the first embodiment, they give an excellent pinning efficiency. Also in this constitution, even quantized flux lines which tend to move by overcoming the interaction between flux line lattices canbepinned, since the two-dimensional crystal defects 4 are arrangedparallel to acurrent flowingdirection. Therefore, two-dimensional pinning centers can be obtained having a very high pinning efficiency. The thickness of the two-dimensional crystal defects 4 can be controlled by adjusting the width of the defect inducing parts 5 (i.e., the width of the nano grooves 2). Furthermore, the magnitude of the pinning force can be controlled, by controlling the size of the two-dimensional crystal defects 4 to adjust the depth of the pinning potential and the potential steepness. When the size of an optimum pinning center (two-dimensional crystal defect 4 ) varies with the working temperature of a superconducting film, an optimum value of the pinning force can be selected by changing the width and average center to center gap of the nano grooves. As an alternative to this second embodiment , in the same manner as in the first embodiment , a superconductxng material may be used as a buffer layer. Also in this case, two-dimensional crystal defects 4 are formed on defect inducing parts 5. Usable superconducting materials are the same as in the first embodiment, and a buffer layer in an area where no defect inducing part 5 is formed has the effect of facilitating the epitaxial growth of the superconductor layer 3 in this portion, since this buffer layer is a superconducting film of the same type as the superconductor layer 3. As another alternative to this second embodiment, a superconductor layer 3 maybe formedfromaplurality of layers and nano grooves may be formed in each of the plurality of layers except a top layer. This alternative embodiment is suitable for introducing two-dimensional crystal defects 4 of a predetermined density in a case where the superconductor layer 3 is thick and the distribution of two-dimensional crystal defects decreases as the formation of the superconductor layer 3 progresses.

A superconducting film of the third embodiment of the invention is shown in Figure 3. The superconducting film of Figure 3 has a substrate 1 and a superconductor layer 3 formed on the substrate 1. Rows of nano holes 6 are formed parallel to a current flowing direction on a substrate surface where the superconductor layer 3 is formed, and one-dimensional crystal defects 7 are introduced in the superconductor layer on the nano holes 6. The one-dimensional crystal defects 7 function as pinning centers . The substrate 1 and the superconductor layer 3 are the same as in the first embodiment . The nano holes 6 are a plurality of non-through holes which are formed on the substrate and are formed on the substrate 1 to form rows parallel to a current flowing direction. "Rows of the nano holes 6" means that the spacing between the adjacent nano holes 6 in a direction parallel to a current flowing direction is smaller than the lattice constant of quantized flux line lattice a_f in the superconductor layer 3. The spacing between the adjacent nano holes 6 in a direction parallel to a current flowing direction is usually not more than 250 nm, and preferably in the range of 20 nm to 150 nm, depending on a magnetic field B applied to the superconductor layer 3. Rows of the one-dimensional crystal defects 7 formed by the rows of nano holes 6 having such a spacing are dense relative to quantized flux lines and have the same effect as two-dimensional pinning centers. That is, quantized flux lines can be effectively prevented frommoving through the rows of the one-dimensional crystal defects 7. It is desirable that the diameter of the nano holes 6 be larger than the diameter of the quantized flux lines constituting the superconductor layer 3 (twice the coherent length ξ of a superconducting material) . It is desirable that the nano holes have a diameter of usually not more than 100 nm, and preferably in the range of 5 nm to 50 nm, depending on the material for the superconductor layer 3. The average center to center distance between the rows of the nano holes 6 is usually not more than 500 nm, preferably 15 to 300 nm, and more preferably 20 nm to 200 nm, depending on an applied magnetic field B. When the rows of the nano holes 6 have widths , depths and center to center distances in the above-described ranges, the quantized flux lines in the superconductor layer 3 can be pinned efficiently. Each of the rows of the nano holes 6 may be continuous in the current flowing direction of the superconducting film (see Figure 6A) or may be an array of discontinuous rows (see Figure 6B) . It is desirable that the distance between two rows of nano holes in a discontinuous part in a current flowing direction be smaller than the lattice constant of quantized flux line lattice a_f in the superconductor layer 3. This distance is usually not more than 500 nm, preferably 15 nm to 300 nm, and more preferably 20 nm to 200. nm, depending on a magnetic field B applied to the superconductor layer 3. Alternatively, a plurality of rows of nano holes 6 may be irregularly arranged on the substrate 1, provided that the major axis of the rows of nano holes be parallel to a current flowing direction (see Figure 6C) . Also in this case, it is desirable that the distance between adjacent rows of nano holes 6 in a current flowing direction and the average center to center distance in a direction parallel to a current flowing direction be within the above-described ranges. In the cases of Figure 6B and Figure 6C, it is desirable that discontinuous parts be not aligned in a direction perpendicular to a current flowing direction. This is because if discontinuous parts are aligned in this direction, the pinning effect of the quantized flux lines decreases in these parts. In the cases of Figure 6A to Figure 6C, in two rows of nano holes which are adjacent in a direction orthogonal to a current flowing direction, the nano holes may be arranged in a "mutually nested" state (i.e. positions of nano holes of one row correspond to positions of spacing of another row and vice versa, the state of Figure 6A and Figure 6B) , or the nano holes may be aligned in a direction orthogonal to a current flowing direction. The nano holes 6 on the substrate 1 can be formed by using mechanical polishing (nano scratching), etching, nano imprint, AFM in processing mode or nano lithography. A preferred method includes nano imprint and AFM in processing mode . For example, nano imprint can be performed by pressing a jig provided with microprotrusions having a desired shape and intervals against the substrate 1. Alternatively, the nano holes 6 can be formed by intermittently processing the substrate using an AFM in which a high voltage is applied to a probe. When the superconducting layer 3 is formed on the surface of the substrate where the nano holes 6 are provided, one-dimensional "crystaldefects" are formedon thenanoholes 6 in the same manner as in the case where the nano grooves 2 are provided. The crystal defects 7 on the nano holes 6 are the same as the "crystal defects" of the first embodiment , with the exception that the crystal defects 7 on the nano holes 6 are one-dimensional in shape, rather than two-dimensional. The crystal defects on the nano holes 6 will not disappear with the growth of a film and form one-dimensional crystal defects 7 continuing from the nano holes 6 on the substrate to the surface of the superconductor layer 3. These one-dimensional crystal defects 7 , which have no superconducting properties or have poor superconducting properties, become one-dimensional pinning centers.

Although it is not always necessary for the one-dimensional crystal defects 7 to be perpendicular to the substrate plane, it is desirable that the one-dimensional crystal defects 7 be present at an angle close to an angle perpendicular to the substrate plane. According to the arrangement of this embodiment, the rows of one-dimensional crystal defects 7 will not interrupt a current, since they are arranged parallel to a current flowing direction. When a magnetic field is applied to the superconductor layer 3 perpendicularly thereto, the quantized flux lines tend to move toward the sides of the rows of one-dimensional crystal defects 7. This is because the Lorentz force is in a direction parallel to the substrate surface and orthogonal to the flow of a current. However, if the rows of one-dimensional crystal defects 7 of the invention are dense, the rows of one-dimensional crystal defects 7 can pin even quantized flux lines which tend to movebyovercomingthe interactionbetween flux line lattices , and hence the rows of one-dimensional crystal defects 7 can work for the pinning of all quantized flux lines . The structure of the pinning centers of the invention has very high pinning efficiency. The diameter of the one-dimensional crystal defects 7 can be controlled by adjusting the diameter of the nano holes 6. Since the one-dimensional crystal defects 7 are dislocations , grain boundaries , amorphous bodies , nonsuperconductors or superconductors having a low critical temperature, they have the pinning interaction of quantized flux lines . Furthermore, the magnitude of the pinning force can be controlled, by controlling the size of the nano holes 6 to adjust thedepthof thepinningpotential andthepotential steepness . When the size of an optimum pinning center (one-dimensional crystal defect 7) varies with the working temperature of a superconducting film, an optimum value of the pinning force can be selected by changing the diameter of nano holes , the spacing between the nano holes in a current flowing direction, and the average center to center spacing of the rows of nano holes in a direction orthogonal to a current flowing direction. As an alternative to this third embodiment, a superconducting material may be used as a buffer layer. That is, after a buffer layer of a superconducting material is first formed thin on a substrate 1, nano holes 6 are formed by the same method as described above and a superconductor layer 3 may be formed thereafter. Also in this case, one-dimensional crystal defects 7 are formed in the superconductor layer 3 on the nano holes 6. It is preferred that usable superconducting materials be the same oxide as the material for the superconductor layer 3 or a boride . For example, when the superconductor layer 3 is formed from LnBaCu₃0_7+x, a buffer layer may be formed from the same LnBa₂Cu₃0_7+x or may be formed from a material in which only Ln is replaced. A buffer layer in an area where no nano hole is formed has the effect of facilitating the epitaxial growth of the superconductor layer 3 in this portion, since this buffer layer is a superconducting film of the same type as the superconductor layer 3. As another alternative to this third embodiment, a superconductor layer 3 maybe formedfromapluralityof layers and nano holes may be formed in each of the plurality of layers except a top layer. This alternative embodiment is suitable for introducing one-dimensional crystal defects 7 at a predetermineddensityin acasewhere the superconductor layer 3 is thick and the distribution of one-dimensional crystal defects decreases as the formation of the superconductor layer 3 progresses .

A superconducting film of the fourth embodiment of the invention is shown in Figure 4. The superconducting film of Figure 4 has a substrate 1 in which rows of nano holes 6 are formed parallel to a current flowing direction on the surface where a superconductor layer 3 is formed, defect inducing parts 8 formed on the rows of the nano holes 6 , and the superconductor layer 3 formed on the substrate 1 and the defect inducing parts 8, and the one-dimentional crystal defect 7 is introduced in the superconductor layer on the defect inducingparts 8. Theone-dimensionalcrystaldefects 7 function as pinning centers. The substrate 1, the nano holes 6 and the superconductor layer 3 are the same as in the third embodiment . The defect inducing parts 8 are the same as the defect inducing parts 5 of the second embodiment, with the exception that the shape is island-like crystals. Usable materials include, for example, metals such as Ag and Pt (it is desirable that the metals have a high melting point); intermetallic compounds such as AgY and Pt₃Y, nitrides such as GdN and YN; and oxides such as RE₂0₃ (RE: rare earth element) and Ce0₂. Although in the present invention, it is preferred that the defect inducing parts 8 be formed from a material different from that of the substrate 1, the defect inducing parts 8 may be formed from a material which is of the same kind as the substrate 1 but has a different crystal orientation. The defect inducing parts 8 can be formed by depositing the above-described materials on the substrate 1 by a method selected from PLD, evaporation, sputtering CVD and MBE. In this case , the nano holes 6 are preferential nucleation sites compared to the flat substrate 1 and, therefore, the above-describedmaterials nucleate and grow on the nano holes 6. By adjusting the material supply amount, film forming time and film forming temperature, it is possible to form the defect inducingparts 8 consistingof island-like crystals of an appropriate size on the nano holes 6. Unlike nano dots which are formedrandomlyon a substrate, the rows of defect inducing parts 8 are regularly arranged so as to be parallel to a current flowing direction, and in this respect the invention is greatly different from prior art. Since the smoothness of the surfaces of the defect inducing parts 8, and/or the deposition rate, crystal orientation, etc. of a superconducting material on the surfaces of the defect inducing parts 8 are different from those of the substrate 1 , the one-dimensional crystal defects 7 are formed in the superconductor layer 3 formed on the defect inducing parts 8. Rows of these one-dimensional crystal defects 7 function as one-dimensional pinning centers in the same manner as in the third embodiment . Because the rows of one-dimensional crystal defects 7 are arranged parallel to a current flowing direction, they will not interrupt a current. Therefore, the rows of one-dimensional crystal defects 7 of this embodiment can provide one-dimensional pinning centers having an excellent pinning efficiency. The diameter of the one-dimensional crystal defects 7 can be controlled, by adjusting the diameter of the defect inducing parts 8 (i.e., the width of the nano holes 6). Furthermore, the magnitude of the pinning force can be controlled by controlling the size of the one-dimensional crystal defects 7 to adjust the depth of the pinning potential and the potential steepness. When the size of an optimum pinning center (one-dimensional crystal defect 7 ) varies with the working temperature of a superconducting film, an optimum value of the pinning force can be selected by changing the diameter of the nano holes 6 and the average center to center spacing of the rows of nano holes 6. As an alternative to this fourth embodiment, a superconducting material may be used as a buffer layer in the same manner as in the third embodiment . Also in this case, one-dimensional crystal defects 7 are formed on the defect inducing parts 8. It is preferred that usable superconducting materials be the same oxide as the material for the superconductor layer 3 or a boride. For example, when the superconductor layer 3 is formed from LnBa₂Cu₃0_7+x, a buffer layer may be formed from the same LnBa₂Cu₃0_7+x or may be formed from a material in which only Ln is replaced. A buffer layer in an areawhere no defect inducing part is formed has the effect of facilitating the epitaxial growth of the superconductor layer 3 in this portion, since this buffer layer is a superconducting film of the same type as the superconductor layer 3. As another alternative to this fourth embodiment, a superconductor layer 3 maybe formedfrom apluralityof layers and rows of nano holes 6 may be formed in each of the plurality of layers except a top layer. This alternative embodiment is suitable for introducing one-dimensional crystal defects 7 of a prescribed density in a case where the superconductor layer 3 is thick and the distribution of one-dimensional crystal defects 7 decreases as the formation of the superconductor layer 3 progresses . Example 1: First, nano grooves were formed on a single-crystal substrate. An SrTi0₃ substrate 3 mm wide x 10 mm long x 0.5 mm thick, the (100) plane of which was mirror-like polished, was preparedas the single-crystal substrate . Subsequently, nano grooves were formed in a region of 60 μm x 60 μm in the central part of this substrate surface by utilizing AFM in processingmode . With the width and depth of the nano grooves set at 30 nm respectively and the length of the nano grooves at 60 μm, 330 nano grooves were formed in the above-described region with equal spacing such that the nano grooves become parallel to the longitudinal direction of the substrate . The average spacing of the centers of the nano grooves was 150 nm. With the substrate fixed on a heater provided within a vacuum chamber, a thin film of YBa₂Cu₃0₇._x (YBCO) was formed on the substrate by the excimer pulsed laser deposition (PLD) method and a superconducting film (1-1) was obtained. At this time, a flat SrTi0₃ substrate 3 mm wide x 10 mm long x 0.5 mm thick, in which no nano groove was formed, was fixed beside the substrate on which nano grooves were formed and a superconducting film (C-l) was obtained. The superconducting film (1-1) is an example of the invention and the superconducting film (C-l) is a comparative example outside the scope of the invention. A target of sintered YBCO of a stoichiometric composition was used in the above PLDmethod. The substrate temperatureduringfilmdeposition was 780°C. The partial oxygen pressure was 200 mTorr, and a sufficient volume of oxygen was introduced in the film cooling process. The film thickness of the obtained YBCO was 0.5 μm. The crystal orientation of the two films (1-1) and (C-l) was evaluated by X-ray diffraction and it was ascertained that both are highly c-axis oriented films. Furthermore, when the in-plane crystal orientation of the films was investigated by φ scan, it was found that both were highly in-plane oriented. From these investigation, it could be ascertained that the two films are biaxially oriented to the same extent . In order to investigate the superconducting properties of the obtained films , a bridge pattern was formed on the YBCO films by lithography. The width of the bridge was 40 μm and its length was 40 μm. At this time, in the superconducting film (1-1), the bridge pattern was formed on the above-described region 60 μm x 60 μm where the nano grooveswere formed. Consequently, whenenergized, acurrent flows parallel to the nano grooves . For the patterned two samples , the electrical properties were evaluated by the four terminal method. The critical temperature Tc of the samples was 90 K for the superconducting film (1-1) with nano grooves and 91 K for the superconducting film (C-l) without a nano groove, as determined from temperature variations in resistivity. Under a zero magnetic field, the critical current density Jc of the superconducting film (1-1) at 77 K was 5,000,000 A/cm², and that of the superconducting film (C-l) was 4,500,000 A/cm². Furthermore, under a magnetic field of 1 T(tesla) parallel to the c-axis (perpendicular to the substrate plane) , Jc of the superconducting film (1-1) at a temperature of 77 K was 1,100,000 A/cm², and that of the superconducting film (C-l) was 580,000 A/cm² .

Example 2 : Nano grooves were formed on an SrTi0₃ substrate in the same manner as in Example 1. Next , the substrate on which nano grooves had been formed was fixed on a heater within a vacuum heater for PLD, and defect inducing parts were formed on the nano grooves by the PLD method. Y₂0₃ was used as the material for the defect inducing parts. A Y₂0₃ sintered compact target was ablated using 30 pulses of an excimer laser, and Y₂0₃ was deposited on the SrTi0₃ substrate. At this time, the substrate temperature was 700°C and the partial oxygen pressurewas 10^"5Torr (1.33 x 10^"3 Pa) . Under these conditions , Y₂0₃ deposited only on the nano grooves to form the defect inducing parts. Then, the temperature was lowered to room temperature and in the same manner as in Example 1, an SrTi0₃ substrate without a nano groove was attached on the heater, beside the sample with nano grooves and defect inducingparts . Then, in the same manner as in Example 1, YBCO films were formed by the PLD method using the sintered YBCO target, to give superconducting films (1-2) and (C-2). The superconducting film (1-2) is an example of the invention having defect inducing parts, and the superconducting film (C-2) is a comparative example outside the scope of the invention. The film deposition conditions were the same as in Example 1. According to an X-ray diffraction analysis, the two samples equally showed a high c-axis orientation and a high in-plane orientatio . Subsequently, in order to investigate the superconductingproperties of the obtainedfilms , abridge pattern was formed on the YBCO films by lithography. The width of the bridge was 40 μm and its length was 40 μm. At this time, in the superconducting film (1-2), the bridge pattern was formed on the above-described region 60 μm x 60 μm where the nano grooves were formed. The critical temperature Tc of the two patterned samples was measured 89.5 K for the superconducting film (1-2) and 90.5 K for the superconducting film (C-2). Under a zero magnetic field, the critical current density Jc at 77 K of the superconducting film (1-2) was 5 ,200 ,000 A/cm², andthat of the superconducting ilm (C-2) was 4,300 ,000 A/cm². Furthermore, under amagnetic field of 1 T parallel to the c-axis, Jc of the superconducting film (1-2) at a temperature of 77 K was 1,300,000 A/cm², and that of the superconducting film (C-2) was 550,000 A/cm². Example 3 : First, nano holes were formed on a single-crystal substrate. An SrTi0₃ substrate 3 mm wide x 10 mm long x 0.5 mm thick, the (100) plane of which was mirror-like polished, was prepared as the single-crystal substrate. Rows of nano holes were formed in a region of 60 μm x 60 μm in the central part of this substrate surface by use of electron beam lithography. The width and depth of the nano holes were 40 nm and 20 nm, respectively. The rows of nano holes were arranged so as to be parallel to the length direction of the substrate and so that the length of the rows became 60 μm. The spacing between the nano holes in the longitudinal direction of the substrate was 100 nm, and 330 rows of nano holes were formed in the above-described region 60 μm x 60 μm with equal spacing. The average spacing of the centers of the nano hole rows was 150 nm. With this substrate fixed on a heater provided within a vacuum chamber, a thin film of YBa₂Cu₃0₇__x (YBCO) was formed on the substrate by the excimer pulse laser deposition (PLD) method and a superconducting film (1-3) was obtained. At this time, aflat SrTi0₃ substrate 3 mm wide x 10 mm long x 0.5 mm thick, in which no nano hole was formed, was fixed beside the substrate on which nano holes were formed and a superconducting film (C-3) was obtained. The film deposition conditions were the same as in Example 1. According to an X-ray diffraction analysis, the two samples equally showed a high c-axis orientation and a high in-plane orientation. Subsequently, in order to investigate the superconductingproperties of theobtainedfilms, abridge pattern was formed on the YBCO films by lithography. The width of the bridge was 40 μm and its length was 40 μm. At this time, in the superconducting film (1-3), the bridge pattern was formed on the above-described region 60 μm x 60 μm where the rows of nano holes were formed. The critical temperature Tc of the two patterned samples was measured 90.5 K for the superconducting film (1-3) and 91 K for the superconducting film (C-3). Under a zero magnetic field, the critical current density Jc of the superconducting film (1-3) at 77 K was 5,100,000 A/cm², and that of the superconducting film (C-3) was 4,000,000 A/cm². Furthermore, under a magnetic field of 1 T parallel to the c-axis, Jc of the superconducting film (1-3) at a temperature of 77 K was 1,000,000 A/cm², and that of the superconducting film (C-3) was 450,000 A/cm².

Example 4 : Nano holes were formed on an SrTi0₃ substrate in the same manner as in Example 3. Next, the substrate on which nano holes had been formed was fixed on a heater within a vacuum heater for PLD, and defect inducing parts were formed on the nano holes by the PLD method. Y₂0₃ was used as the material for the defect inducing parts . A Y₂0₃ sintered compact target was ablated using 15 pulses of an excimer laser and Y₂0₃ was depositedonthe SrTi0₃ substrate . At this time, the substrate temperature was 700°C and the partial oxygen pressure was 10^"5 Torr (1.33 x 10^"3 Pa). Under these conditions, Y₂0₃ deposited only on the nano holes to form the defect inducing parts . Then, the temperature was lowered to room temperature and in the same manner as in Example 3 , a flat SrTi0₃ substrate without a nano hole was attached on the heater, beside the sample with defect inducing parts. Then, in the same manner as in Example 3 , YBCO films were formed by the PLD method using the sintered YBCO target, and superconducting films (1-4) and (C-4) were obtained. The superconducting film (1-4) is an example of the invention having defect inducing parts and the superconducting film (C-4) is a comparative example outside the scope of the invention. According to an X-ray diffraction analysis, the two samples equally showed a high c-axis orientation and a high in-plane orientation. Subsequently, in order to investigate the superconductingproperties of the obtainedfilms , abridge pattern was formed on the YBCO films by lithography. The width of the bridge was 40 μm and its length was 40 μm. At this time, in the superconducting film (1-4), the bridge pattern was formed on the above-described region 60 μm x 60 μm where the defect inducing parts (nano holes) were formed.

The critical temperature Tc of the two patterned samples was measured 90 K for the superconducting film (1-4) and 90.5 K for the superconducting film (C-4) . Under a zero magnetic field, the critical current density Jc of the superconducting film (I-4)at 77 K was 4,800,000 A/cm², and that of the superconducting film (C-4) was 4,500,000 A/cm². Furthermore, under a magnetic field of 1 T parallel to the c-axis, Jc of the superconducting film (1-4) at a temperature of 77 K was 1,200,000 A/cm², and that of the superconducting film (C-4) was 600,000 A/cm².

Table 1: Evaluation of superconducting properties of superconducting films

As described above, the superconducting films of the invention showed critical temperatures Tc equivalent to those of the conventional superconducting films, and provided critical current densities equal to or more than those of the conventional films under a zero magnetic field. Furthermore, in a magnetic field of 1 T, the superconducting films of the invention showed critical current densities much higher than those of the conventional superconducting films . Therefore, the superconducting films of the invention can allow larger currents to flow when they operate under the influence of a magnetic field, and are suitable not only as devices to operate in such an environment, but also for applications such as cables, magnets, shields, current limiters, microwave devices, intermediate devices of these articles . The present invention has been described in detail with respect to various embodiments, and it will now be apparent from the foregoing to those skilled in the art that changes and modifications may be made without departing from the invention in its broader aspects, and it is the intention, therefore, in the appended claims to cover all such changes and modifications as fall within the true spirit of the invention.

Claims

1. A superconducting film having a substrate and a superconductor layer formed on the substrate, wherein nano grooves are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed, and that two-dimensional crystal defects are introduced in the superconductor layer on the nano grooves.

2. The superconducting film as claimed in claim 1, wherein each of said two-dimensional crystal defects is a two-dimensional crystal defect which is continuous in a current flowing direction.

3. The superconducting film as claimed in claim 1, wherein each of said two-dimensional crystal defects is a two-dimensional crystal defect which is an array of discontinuous two-dimensional crystal defects.

4. The superconducting film as claimed in claim 1, wherein said two-dimensional crystal defects are irregularly distributed on the substrate.

5. The superconducting film as claimed in claim 1, wherein said two-dimensional crystal defects are crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting said superconductor layer, nonsuperconductors or low critical temperature superconductors .

6. The superconducting film as claimed in claim 1 , wherein said nano grooves have a width of not more than 100 nm and a depth of not more than 100 nm and that the average center to center distance of adjacent nano grooves in a direction perpendicular to a current flowing direction is not more than 500 nm.

7. The superconducting film as claimed in claim 1 , wherein said substrate is a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, or a pyrochlore type crystal structure; or an oxide substrate, anitride substrate , a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer formed from said oxide or a boride is formed.

8. The superconducting film as claimed in claim 1, wherein said superconductor layer is formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having the chemical formula LnBa₂Cu₃0_7+x, where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5<x<0.2; copper oxide-based high temperature superconducting materials having the chemical formula (Bi₁._xPb_x)₂Sr₂Ca_n_ιCu_nθ2n₊4+_y where 0 < x < 0.4, -0.5<y<0.5 and n = 1 , 2 or 3 ;. and superconducting materials which contain the chemical formula MgB₂ as a main component .

9. The superconducting film as claimed in claim 1 , wherein saidsuperconductorlayeris formedfromapluralityof layers , and nano grooves are formed in each of said plurality of layers except a top layer.

10. A superconducting film having a substrate and a superconductor layer formed on the substrate, wherein nano grooves are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed; defect inducing parts are formed on the nano grooves; and two-dimensional crystal defects are introduced in the superconductor layer on the defect inducing parts.

11. The superconducting film as claimed in claim 10 , wherein each of said two-dimensional crystal defects is a two-dimensional crystal defect which is continuous in a current flowing direction.

12. The superconducting film as claimed in claim 10 , wherein each of said two-dimensional crystal defects is an array of discontinuous two-dimensional crystal defects.

13. The superconducting film as claimed in claim 10, wherein said two-dimensional crystal defects are irregularly distributed on the substrate.

14. The superconducting film as claimed in claim 10 , wherein said two-dimensional crystal defects are crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting said superconductor layer, nonsuperconductors or low critical temperature superconductors .

15. The superconducting film as claimed in claim 10 , wherein said nano grooves have a width of not more than 100 nm and a depth of not more than 100 nm and that the average center to center distance of adjacent nano grooves in a direction perpendicular to a current flowing direction is not more than 500 nm.

16. The superconducting film as claimed in claim 10 , wherein said substrate is a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure. a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, or a pyrochlore type crystal structure; oranoxide substrate, anitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer formed from said oxide or a boride is formed.

17. The superconducting film as claimed in claim 10, wherein said superconductor layer is formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having the chemical formula LnBa₂Cu₃0_7+x, where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5<x<0.2; copper oxide-based high temperature superconducting materials having the chemical formula (Bi₁__xPb_x)₂Sr2Ca_n_₁Cu_nθ2n++_y, where 0 < x < 0.4, -0.5<y<0.5 and n = 1 , 2 or 3 ; and superconducting materials which contain the chemical formula MgB₂ as a main component .

18. The superconducting film as claimed in claim 10 , wherein said defect inducing parts are formed from a metal, an intermetallic compound, a nitride or an oxide.

19. The superconducting film as claimed in claim 10 , wherein said superconductor layer is formed from a plurality of layers and nano grooves are formed in each of said plurality of layers except a top layer.

20. A superconducting film having a substrate and a superconductor layer formed on the substrate, wherein rows of nano holes are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed, and rows of one-dimensional crystal defects are introduced in the superconductor layer on the rows of nano holes .

21. The superconducting film as claimed in claim 20 , wherein each of said rows of one-dimensional crystal defects is a row of one-dimensional crystal defects which is continuous in a current flowing direction.

22. The superconducting film as claimed in claim 20, wherein each of said rows of one-dimensional crystal defects is an array of discontinuous rows of one-dimensional crystal defects .

23. The superconducting film as claimed in claim 20 , wherein said rows of one-dimensional crystal defects are irregularly distributed on the substrate.

24. The superconducting film as claimed in claim 20 , wherein said one-dimensional crystal defects are crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting said superconductor layer, nonsuperconductors or low critical temperature superconductors .

25. The superconducting film as claimed in claim 20, wherein said nano holes have a diameter of not more than 100 nm and that the average center to center distance of adjacent rows of nano holes in adirectionperpendicular to a current flowing direction is not more than 500 nm.

26. The superconducting film as claimed in claim 20 , wherein

' said substrate is a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, or a pyrochlore type crystal structure; or anoxide substrate, anitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer formed from said oxide or a boride is formed.

27. The superconducting film as claimed in claim 20 , wherein said superconductor layer is formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+x, where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5<x<0.2; copper oxide-based high temperature superconductingmaterials having a chemical formula of (Bi₁__xPb_x)₂Sr₂Ca_n_₁Cu_nθ2_n+4_+y, where 0<x<0.4, -0.5 < y < 0.5 and n = 1, 2 or 3; and superconducting materials which contain MgB₂ as a main component .

28. The superconducting film as claimed in claim 20 , wherein said superconductor layer is formed froma pluralityof layers and rows of nano holes are formed in each of said plurality of layers except a top layer.

29. A superconducting film having a substrate and a superconductor layer formed on the substrate, wherein rows of nano holes are formed parallel to a current flowing direction on a substrate surface on which the superconductor layer is formed; a defect inducing parts are formed on said nano holes; and rows of one-dimensional crystal defects are introduced in the superconductor layer on rows of said defect inducing parts.

30. The superconducting film as claimed in claim 29 , wherein each of said rows of one-dimensional crystal defects is a row of one-dimensional crystal defects which is continuous in a current flowing direction.

31. The superconducting film as claimed in claim 29 , wherein each of said rows of one-dimensional crystal defects is an array of discontinuous rows of one-dimensional crystal defects.

32. The superconducting film as claimed in claim 29 , wherein said rows of one-dimensional crystal defects are irregularly distributed on the substrate.

33. The superconducting film as claimed in claim 29 , wherein said one-dimensional crystal defects are crystal grain boundaries , dislocation arrays , amorphous bodies formed from elements constituting said superconductor layer, nonsuperconductors or low critical temperature superconductors .

34. The superconducting film as claimed in claim 29 , wherein said nano holes have a diameter of not more than 100 nm and that the average center to center distance of adjacent rows of nano holes in adirection perpendicular to a flowing current is not more than 500 nm.

35. The superconducting film as claimed in claim 29 , wherein said substrate is a substrate of an oxide having a perovskite type crystal structure, a rock-salt type crystal structure, a spinel type crystal structure, an yttrium stabilized zirconia type structure, a fluorite type crystal structure, a rare earth C type crystal structure, or a pyrochlore type crystal structure; oranoxide substrate, anitride substrate, a semiconductor substrate, a nickel-based alloy substrate, a copper-based alloy substrate or an iron-based alloy substrate on the surface of which a buffer layer formed from said oxide or a boride is formed.

36. The superconducting film as claimed in claim 29 , wherein said superconductor layer is formed from a superconducting material selected from the group consisting of copper oxide-based high temperature superconducting materials having a chemical formula of LnBa₂Cu₃0_7+x, where Ln is one or more elements selected from the group consisting of Y element and rare earth elements and -0.5<x<0.2; copper oxide-based high temperature superconducting materials having the chemical formula of (Bi₁__xPb_x)₂Sr₂Ca_n.₁Cu_n0_2n+4+y, where 0 < x < 0.4, -0.5 < y < 0.5 and n = 1, 2 or 3; and superconducting materials which contain MgB₂ as a main component .

37. The superconducting film as claimed in claim 29 , wherein said defect inducing parts are formed from a metal, an intermetallic compound, a nitride or an oxide.

38. The superconducting film as claimed in claim 29 , wherein said superconductor layer is formed from a plurality of layers and rows of nano holes are formed in each of said plurality of layers except a top layer.

39. A method of manufacturing a superconducting film, comprising the steps of : forming nano grooves on a substrate; growing a superconductor layer on the substrate.

40. The method of manufacturing a superconducting film as claimed in claim 39 , wherein said step of forming nano grooves is performed by a method selected from the group consisting of mechanical polishing, etching, nano imprint, AFM in processing mode and nano lithography.

41. The method of manufacturing a superconducting film as claimed in claim 39, wherein said nano grooves are formed in such a manner that the nano grooves have a width of not more than 100 nm and a depth of not more than 100 nm and that the average center to center distance of adjacent nano grooves in a direction perpendicular to a current flowing direction is not more than 500 nm.

42. The method of manufacturing a superconducting film as claimed in claim 39, wherein said step of forming a superconductor layer is performed by a method selected from the group consisting of PLD, evaporation, sputtering, CVD, MBE and MOD.

43. The method of manufacturing a superconducting film as claimed in claim 39 , wherein the manufacturingmethod further comprises the step of forming defect inducing parts on said nano grooves .

44. The method of manufacturing a superconducting film as claimed in claim 43, wherein said step of forming defect inducing parts is performed by a method selected from the group consisting of PLD, evaporation, sputtering, CVD and MBE.

45. A method of manufacturing a superconducting film, comprising the step of: forming rows of nano holes on a substrate; and growing a superconductor layer on the substrate .

46. The method of manufacturing a superconducting film as claimed in claim 45, wherein said step of forming rows of nano holes is performed by a method selected from the group consisting of mechanical polishing, etching, nano imprint, AFM in processing mode and nano lithography.

47. The method of manufacturing a superconducting film as claimed in claim 45, wherein said nano holes are formed in such a manner that the nano holes have a diameter of not more than 100 nm and that the average center to center distance of adjacent rows of nano holes in a direction perpendicular to a current flowing direction is not more than 500 nm.

48. The method of manufacturing a superconducting film as claimed in claim 45, wherein said step of forming a superconductor layer is performed by a method selected from the group consisting of PLD, evaporation, sputtering, CVD, MBE and MOD.

49. The method of manufacturing a superconducting film as claimed in claim 45 , wherein the manufacturing method further comprises the step of forming defect inducing parts on said nano holes .

50. The method of manufacturing a superconducting film as claimed in claim 49, wherein said step of forming defect inducing parts is performed by a method selected from the group consisting of PLD, evaporation, sputtering, CVD and MBE.