TW591448B - Method for determining parasitic inductance by using new metal oxide semiconductor FET transmission line equivalence circuit model - Google Patents

Method for determining parasitic inductance by using new metal oxide semiconductor FET transmission line equivalence circuit model Download PDF

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TW591448B
TW591448B TW91135509A TW91135509A TW591448B TW 591448 B TW591448 B TW 591448B TW 91135509 A TW91135509 A TW 91135509A TW 91135509 A TW91135509 A TW 91135509A TW 591448 B TW591448 B TW 591448B
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parasitic inductance
oxide semiconductor
semiconductor field
effect transistor
metal oxide
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TW91135509A
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Chinese (zh)
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TW200410090A (en
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Yung-Ling Lai
Jeng-Tsung Chen
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Univ Feng Chia
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Abstract

A method for determining a parasitic inductance by using a new metal oxide semiconductor FET transmission line equivalence circuit model, in which the metal oxide semiconductor FET includes a source, a drain, a gate, and a base, comprises: using a special numerical analysis procedure to obtain a linear relationship among the gate parasitic inductance and the source parasitic inductance of the metal oxide semiconductor FET, the drain parasitic inductance and the source parasitic inductance of the metal oxide semiconductor FET, versus the imaginary Z parameters, thereby extracting the gate parasitic inductance, the drain parasitic inductance and the source parasitic inductance of the metal oxide semiconductor FET.

Description

591448 A7 B7 』A020_ TWP H7 五、發明說明( 【發明所屬之技術領域】 本發明係關於-種以新的金屬氧化物铸體場效電晶 體傳輸線#效1路觀歧其料f叙料,特別是指8 5 —種零偏壓方式’以分散式電容傳輸線等效電路模型^ 金屬氧化物半導體場效電晶體氧化物下方之空乏區電容效 應,並以Z參數頻率響應來萃取金屬氧化物半導 : 晶體寄生電感的方法。 电 10【先前技術】 ,習用以等效電路模型決定其寄生電感之方法係利用隹 群式電路模型,其中集群式電路模型只能用在窄頻寬= 圍’不適合用於寬頻微波範圍,如果要完整地描述金屬 化物半導體電晶體在零偏麼時產生的電容效應,並且 ]5地量測到元件的寄生電感效應實在不易。由此可見,= 習用物品仍有諸多缺失,實非—良善之設計者,而^ 以改良。 寻加 本案發明人鑑於上述習用之電路模型決定其寄生電 之方法所衍生的各項缺點,乃丞思加以改良創新,並細 2〇年,心孤詣潛心研究後,終於成功研發完成本件以新^ 屬氧化物半導體場效電晶體傳輸料效電路㈣決定其 生電感之方法。 發明目的 本紙張尺度剌巾關家鮮 i Λ! — . 1 - ----- -----— (請先閱讀背面之注意事項再填寫本頁) 經濟部智慧¾產局員工消費合作社印製 591448 A7 ——P^QppfiOfi Τ\Λ/Ρ ·. ^ 五、發明說明(-70 W二曰"專車别線等效電路模型決定其寄生電感之方 4金屬氧化物半導體場效電晶體之結構可為— 股、繼隹沒極_却心頭,_與州 5 :msulatol’,SGI)f有狀金屬氧化物何體場效電晶體結 半導ΐ::=—目的係在於提供—種以新的金屬氧化物 +導體W電晶體傳輸料效電_型決定其寄生電感之 建立金屬氧化物半導體場效電晶體等效 〜4金屬氧化物半導體場效電晶體包括„ Γ代:=、—間極與一基座,以分散式電容傳輸線模 在零偏壓金屬氧化物半導體場效電 ,乳化物下方之空乏區電容效應,並藉由—特定數學㈣曰 氧化物半導體場效電晶體之閉極寄 源極::雷4 =電感、沒極寄生電感加源極寄生電感、 入、J電感人虛部2參數的線性關係式,進而萃取出 至屬乳化物半導體場效電晶體之_ ^ 電感與源極寄生電感效應數值。 4 /及極可生 半導的係在於提供—種以新的金屬氧化物 切體场效電日日體傳輸線等效電路模型㈣其寄生 =法’其中該金屬氧化物半㈣場效電晶體之基座_ 為η型或p型金屬氧化物半導體場效電晶體。 ^發日狀又—目㈣'在•供—㈣制金屬氧 劳又电曰曰月且得#别線寺效電路模型決定其寄生電感之 L —_ 一一 - 4 * 10 15 20 i . —-----1----- (請先閱讀背面之注意事項再填寫本頁) 華 -f i I , 591448 經濟新智慧財產局員工消費合作社印製 A7 一·~^£Α〇·20βΓ)8 Τ\Λ/Ρ _ w 五、發明說明 方法’其中該量測頻率可為射頻、微波、毫米波頻段。 、一本發明之再一目的係在於提供一種以新的金屬氧化物 半導體場效電晶體傳輸線等效電路模型決定其寄生電感之 方法,該金屬氧化物半導體場效電晶體閉極以可為二米 、次微米(sub_micron)、深次微米(deep_sub mi_)、 奈米(nanometer)。 、一本發明之他一目的係在於提供一種以新的金屬氧化物 半導體場效電晶體傳輪線等效電路模型決定其寄生電感之 方法’其中該金屬氧化物半導體場效電晶體之結構包括一 10源極、一汲極、一閘極與一基座。 【發明内容】 可達成上述發明目的之以新的金屬氧化物半導體場效 電晶體傳輸線等效電路模型決定其寄生電感之方法,係利 15用電晶體在零偏麼時的3參數特性,並且以符合元件物理 結構的分散式電容傳輸線模型描述金屬氧化物半導體場效 電晶體氧化物下方之空乏區的電容效應,萃取出元件的寄 生電感效應。所謂零偏壓方式係指在金屬氧化物半導體場^ 效电晶體間極偏麼為零’並且使電晶體的汲極與源極間之 20 電位接地。 【實施方法】 本發明為提供-種金屬氧化物半導體場效電晶體寄生 電感萃取方法’其中該金屬氧化物半導體場效€晶體包括 ! I I LI ! !f I ί 0Μ----I!---^-------- (請先閱讀背面之注意事項再填寫本頁) -5 ~ 591448 五、發明說明(ψ〇 Α7 Β7 10 錄…閘極與—基座。該方法包括步.驟: 接/ 於關極加上1偏壓,麟«極盘沒極 =形成-零·金屬氧化物半導體場效電晶體; 乂驟二··量測在零偏壓下的8參數; 属/鄉三.:.以分散式電容傳輸線模型,代表在零偏壓金 。乳化物半導體場效電晶體下,電晶體氧化物下方之空乏 電容效應,藉由一特定數學解析處理程序以:: :二氧化物半導體場效電晶體之閘極寄生電感“10丨加 …可生電感LS1G3、汲極寄生電感Ldl()2加源極寄生電感 、源極寄生電感Lsl〇3與虛部z參數的線性關係式,進 而萃取出該金屬氧化物半導體場效電晶體之閑極寄生電感 、>及極寄生電感Ldl02與源極寄生電感Lsl〇3效雇數 值0 “ -1· n §1 lye ^ίβ ΒΒ α— 經濟部智慧財產局員工消費合作社印製 根據本發明之作法,其中該步驟三之_定數學解析 15處理程序包括: “程序一 ··係藉著所量測之S參數,並將S參數轉換成z 苓數,以符合特定之Z參數公式,Ζιι是在汲極端開路的情 况之下,計算閘極端電壓與電流之比值,由該特定之2參 9 =公式可得到該金屬氧化物半導體場效電晶體之閘極寄生 20電感Lgl01加源極寄生電感、汲極寄生電感Ldl〇2加源 極寄生電感Ls103、源極寄生電感Lsl03與虛部z參數的線性 關係式;以及 程序二:再將此線性關係式求出,即可求得該金屬氧 化物半導體場效電晶體之閘極寄生電感LglOl、汲極寄生 #裝· ·ί -----訂·-----i!w&w. (請先閱讀背面之注意事項再填寫本頁) -6591448 A7 B7 『A020_ TWP H7 V. Description of the invention ([Technical field to which the invention belongs] The present invention relates to a kind of new metal oxide cast field effect transistor transmission line #Effective 1 road view disparate materials, In particular, it refers to 8 5 — a kind of zero-biasing method 'with an equivalent circuit model of a decentralized capacitive transmission line. ^ Capacitive effect of the empty region under the oxide of a metal oxide semiconductor field effect transistor, and extracting the metal oxide with a Z-parameter frequency response. Semiconductor: A method of crystal parasitic inductance. Electricity 10 [Previous technology] The method used to determine the parasitic inductance of an equivalent circuit model is to use a 隹 group circuit model, where the cluster circuit model can only be used in narrow bandwidth = 'Not suitable for wideband microwave range, if you want to fully describe the capacitive effect of a metalized semiconductor transistor when it is at zero bias, and it is not easy to measure the parasitic inductance effect of the component. It can be seen from this, = conventional items There are still many shortcomings, it is not a good designer, but ^ to improve. Seek the method of the inventor of this case to determine the parasitic electricity in view of the above-mentioned conventional circuit model The various shortcomings that have been derived are to improve and innovate, and after 20 years of careful research, finally successfully developed and completed this new oxide semiconductor field-effect transistor transmission material-effect circuit, which determines its inductance. The purpose of the invention Purpose of the paper scale towels Jia Jiaxian i Λ! —. 1------ -----— (Please read the notes on the back before filling out this page) Printed by the employee consumer cooperative 591448 A7 ——P ^ QppfiOfi Τ \ Λ / Ρ ·. ^ V. Description of the invention (-70 W 2) "The equivalent circuit model of the special line of the special car determines its parasitic inductance. 4 metal oxide semiconductor The structure of a field-effect transistor can be-stranded, dysprosium _ but the heart, _ and state 5: msulatol ', SGI) f shaped metal oxide and field-effect transistor junction semiconducting ΐ :: = — purpose It is to provide a kind of new metal oxide + conductor W transistor to transmit material effect electricity _ type to determine its parasitic inductance to establish the metal oxide semiconductor field effect transistor equivalent ~ 4 metal oxide semiconductor field effect transistor including „ Γ generation: =,-between pole and a base, with distributed capacitor transmission line In zero-bias metal-oxide-semiconductor field-effect power, the capacitance effect of the empty region under the emulsion, and by-specific mathematics, the closed-source source of the oxide semiconductor field-effect transistor: Ray 4 = inductance, no The parasitic inductance plus the source parasitic inductance, the input and the inductance of the imaginary part of the two parameters of the linear relationship of the two parameters, and then extracted to the emulsion semiconductor field effect transistor _ ^ inductance and source parasitic inductance effect value. 4 / and The system that can generate semiconducting is to provide an equivalent circuit model of a new metal oxide cut field-effect solar-electron transmission line ㈣ its parasitic = method 'where the metal oxide semi-field-effect transistor base _ Is an n-type or p-type metal oxide semiconductor field effect transistor. ^ Hair-like shape—meme 'in • supply—manufactured metal oxygen labor and electricity, said Yuege and ## The circuit model of the effect circuit determines its parasitic inductance L —_ one by one-4 * 10 15 20 i. —----- 1 ----- (Please read the notes on the back before filling in this page) Hua-fi I, 591448 Printed by the Consumer Cooperative of the Economic and New Intellectual Property Bureau A7 I. ~ ^ £ Α〇 · 20βΓ) 8 Τ \ Λ / Ρ _ w V. Method for explaining the invention 'wherein the measurement frequency may be radio frequency, microwave, millimeter wave frequency band. 1. Another object of the present invention is to provide a method for determining the parasitic inductance of a new metal oxide semiconductor field effect transistor transmission line equivalent circuit model. The closed-pole of the metal oxide semiconductor field effect transistor can be two. Meters, sub_micron, deep_sub mi_, nanometer. 1. Another object of the present invention is to provide a method for determining the parasitic inductance of a new metal-oxide-semiconductor field-effect transistor transmission line equivalent circuit model. 'The structure of the metal-oxide semiconductor field-effect transistor includes A 10 source, a drain, a gate and a base. [Summary of the Invention] The method for determining the parasitic inductance of a new metal-oxide semiconductor field-effect transistor transmission line equivalent circuit model to achieve the above-mentioned object of the invention is to use the 3-parameter characteristics of the transistor at zero bias, and The decentralized capacitance transmission line model conforming to the physical structure of the device is used to describe the capacitive effect of the empty region under the oxide of the metal oxide semiconductor field effect transistor, and the parasitic inductance effect of the device is extracted. The so-called zero-bias method refers to the fact that the pole bias between the metal-oxide semiconductor field and the effective transistor is zero, and that the potential between the drain and source of the transistor is grounded. [Implementation method] The present invention provides a method for extracting parasitic inductance of a metal oxide semiconductor field effect transistor, wherein the metal oxide semiconductor field effect crystal includes! II LI!! F I ί 0Μ ---- I!- -^ -------- (Please read the notes on the back before filling out this page) -5 ~ 591448 V. Description of the invention (ψ〇Α7 Β7 10 Record ... Gate and — Base. This method includes Steps: Connect / to the pole plus 1 bias, Lin «polar plate = no-formation-zero · metal oxide semiconductor field effect transistor; Step 2: · 8 parameters measured at zero bias ; Belongs to the township III .: With a distributed capacitance transmission line model, which represents the zero-bias gold. Emulsion semiconductor field effect transistor, the empty capacitor effect under the transistor oxide, through a specific mathematical analysis processing program to ::: Gate parasitic inductance of field effect transistor “10 丨 plus… generating inductance LS1G3, drain parasitic inductance Ldl () 2 plus source parasitic inductance, source parasitic inductance Ls103 and imaginary part z-parameter linear relationship formula to extract the parasitic parasite of the metal oxide semiconductor field effect transistor Inductance, > and parasitic inductance Ldl02 and source parasitic inductance Ls103. The value is 0 "-1 · n §1 lye ^ ί β Βα — printed by the Consumers’ Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs in accordance with the present invention, Among them, the processing procedure of the third step of the _determined mathematical analysis 15 includes: "Procedure 1 · The S parameter is measured by the S parameter, and the S parameter is converted into a z-number to conform to the specific Z parameter formula. In the case of an open drain terminal, calculate the ratio of the gate extreme voltage to the current. From the specific 2 reference 9 = formula, the gate parasitic 20 inductance Lgl01 of the metal oxide semiconductor field effect transistor plus the source parasitic inductance, The linear relationship between the drain parasitic inductance Ldl〇2 plus the source parasitic inductance Ls103, the source parasitic inductance Lsl03, and the z-parameter of the imaginary part; and the second program: calculate the linear relationship, and the metal oxide can be obtained. Gate field parasitic inductance LglOl, drain parasitic of semiconductor field effect transistor # 装 · · ί ----- Order · ----- i! W & w. (Please read the precautions on the back before filling this page ) -6

發明說明( :7/17 電感㈣2與源極寄生電感U1G3效應數值。根據本案之構 想,其中該特定之2參數公式為 〜 zn - (R. ^Rs)^ jc〇{L^ + x H(Z^ ) + __ 取其Z參數虛部,其中該三特定之z參數公式為 其中,/為電容傳輸線的長度,τ為電容傳輸線的 傳輸常數。Description of the invention (: 7/17 Inductance ㈣2 and source parasitic inductance U1G3 effect value. According to the idea of the case, where the specific 2 parameter formula is ~ zn-(R. ^ Rs) ^ jc〇 {L ^ + x H ( Z ^) + __ takes the imaginary part of the Z parameter, where the three specific z-parameter formulas are where / is the length of the capacitive transmission line, and τ is the transmission constant of the capacitive transmission line.

(請先閱讀背面之注意事項再填寫本頁) 以得到该特定之Ζ參數公式,其中該金屬氧化物半導 10體場效電晶體之結構可為一般、淺摻雜汲極(lighK}〇ped diain, LDD)與石夕在絕緣體(siHc〇n 〇n insuiat〇r,soi)等有效之金 屬氧化物半導體場效電晶體結構。 J 當然,本發明也可提供一種建立金屬氧化物半導體場 效電晶體等效電路的方法,其中該金屬氧化物半導體場效 15電日日體包括一源極、一汲極、一閘極與一基座,該方法包 經 括步驟: 濟 % 1 步驟一 ··於該閘極加上一零偏壓,並將該源極與汲極 I I 接地,以形成一零偏壓金屬氧化物半導體場效電晶體; } 1 步驟·二:量測在零偏壓下的S參數; | j 20 步驟三:以分散式電容傳輸線模型,代表在零偏壓金 #! 屬氧化物半導體場效電晶體下,電晶體氧化物下方之空乏 社| 印 製 I -7- 本紙張尺度適用中國國家標準 ---•訂 — ϋ n i(Please read the precautions on the back before filling this page) to get the specific Z parameter formula, in which the structure of the metal oxide semiconducting 10-body field effect transistor can be a general, shallow doped drain (lighK). Ped diain (LDD) and Shi Xi are effective metal oxide semiconductor field-effect transistor structures such as insulators (siHcONn insuiatr, soi). J Of course, the present invention can also provide a method for establishing an equivalent circuit of a metal oxide semiconductor field effect transistor, wherein the metal oxide semiconductor field effect 15 electric sun body includes a source, a drain, a gate and A pedestal, the method includes the following steps: 济% 1 Step 1 · Add a zero bias to the gate, and ground the source and drain II to form a zero bias metal oxide semiconductor Field-effect transistor;} 1 step · 2: measure the S parameter under zero bias; | j 20 Step 3: use the distributed capacitor transmission line model, which represents the zero-bias gold #! Beneath the crystal, under the oxide of the transistor | Printed I -7- This paper size applies to Chinese national standards --- • Order— ϋ ni

n n I s, 591448 五、 發明說明(n n I s, 591448 V. Description of the invention (

Α7 Β7 __PAQ20fi0fi TWP - ft/-] ^ 經濟部智慧財產局員工消費合作社印製 品所產生的電容效應,藉由一特定數學解析處理程序以得 到忒金屬氧化物半導體場效電晶體之閘極寄生電感 加源極可生電感Lsl03、汲極寄生電感加源極寄生電 感Lsl〇3、源極寄生電感Lsl〇3與虛部z參數的線性關係式, 5進而萃取出該金屬氧化物半導體場效電晶體之閘極寄生電 感LglOl、汲極寄生電感Ldl〇2與源極寄生電感匕⑽效應數 值;以及 步驟四:以該萃取出之該金屬氧化物半導體場效電晶 體之閘極寄生電感Lglm、汲極寄生電感U1_源極寄生 電感LS103效應數值建立該金屬氧化物半導體場效電晶體 荨效電路模型。 請參閱圖一所示,為本發明之顯示金屬氧化物半導體 %效電晶體的小信號等效電路模型。該電路模型包括一外 質(extrmSlc)與一本質(intrinsic)部分。其中,該外質部分等 15效兀件包括:閘極寄生電感Lgl〇l、汲極寄生電感^丨犯、 源極寄生電感Ls103、閘極寄生電阻Rgl〇6、汲極寄生電阻 Rdl07與源極寄生電阻私觸。而本質部分的等效元件則包 括:閘極至源極之電容Cgslll、閘極至汲極之電容CgdU2、 汲極至源極之電容Cdsll3、汲極至源極之電導gdsU5、轉導 20 gm與傳輸時間τ。本案方法係於開始萃取該金屬氧化物半 導體場效電晶體之閘極寄生電感L.gl〇1、汲極寄生電感 Ld102與源極寄生電感Lsl〇3時,使用網路分析儀量測金屬 氧化物半導體場效電晶體在零偏壓時的s參數。 请筝閱圖二所示,係為金屬氧化物半導體場效電晶體 本紙張尺度適用中國國家標準 (請先閱讀背面之注意事項再填寫本頁)Α7 Β7 __PAQ20fi0fi TWP-ft /-] ^ The capacitive effect produced by the printed products of the cooperative of employees of the Intellectual Property Bureau of the Ministry of Economic Affairs, through a specific mathematical analysis process, to obtain the gate parasitic inductance of a metal oxide semiconductor field effect transistor Add the source-generating inductance Lsl03, the drain parasitic inductance plus the source parasitic inductance Ls103, the source parasitic inductance Ls103 and the z-parameter of the imaginary part, and then extract the metal oxide semiconductor field-effect current. The gate parasitic inductance LglOl of the crystal, the parasitic inductance of the drain parasitic inductance Ldl02 and the source parasitic inductance; and step four: using the extracted gate parasitic inductance Lglm of the metal oxide semiconductor field effect transistor, Drain parasitic inductance U1_source parasitic inductance LS103 effect value to establish the metal oxide semiconductor field effect transistor net effect circuit model. Please refer to FIG. 1, which is a small-signal equivalent circuit model of a metal-oxide-semiconductor% efficiency transistor of the present invention. The circuit model includes an extrSlc and an intrinsic part. Among them, the 15 effective elements such as the external part include: gate parasitic inductance Lgl0l, drain parasitic inductance, source parasitic inductance Ls103, gate parasitic resistance Rgl〇6, drain parasitic resistance Rdl07, and source Extremely parasitic resistance. The essential equivalent components include: gate-to-source capacitance Cgslll, gate-to-drain capacitance CgdU2, drain-to-source capacitance Cdsll3, drain-to-source conductance gdsU5, and transduction 20 gm With transmission time τ. The method in this case is to measure the metal oxidation using a network analyzer when the gate parasitic inductance L.gl〇1, the parasitic inductance Ld102 and the parasitic inductance Ls103 of the source of the metal oxide semiconductor field effect transistor are started to be extracted. The s-parameters of an object semiconductor field effect transistor at zero bias. Please read the second picture, which is a metal oxide semiconductor field effect transistor. This paper applies Chinese national standards (please read the precautions on the back before filling this page)

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五、發明說明C 在零偏麼情況下之小信號等效剖面模型。在這個等效電路 裡面,因為元件的閘極至汲極與間極至源極的結構與偏壓 具有對稱性,因此可以由分散式電容傳輸線模型代表在零 偏塵情況之下,電晶體氧化物下方之空乏區所產生的電容 效應(包括··分散式串聯電容Cs2〇]與分散式並聯電容 CP202),此等效電路充分描述了零偏壓情況下,金屬氧化 物半導體場效電晶體的氧化物下方之空乏區電容效應與寄 生效應。接著藉由S參數與z參數之間的轉換,將可萃取出 寄生電感的效應。 10 15 ,請參閱圖三所示,當金屬氧化物半導體場效電晶體在 $偏c n况下,小仏號等效電路模型等效電路可以用以下 的Z參數式子表示出來。 siiih(y/) ^cos^^l) sinh(y/) 2 = Z0 C,s. ’、中/為電谷傳輸線的長度,r為傳輸線傳輸參數與 Z〇為傳輸線阻抗參數 r: 著推導出特疋之ζ參數公式可得到該金屬氧化物半 ^场效電晶體之間極寄生電感Lgl〇1加源極寄生電感 =3。及極寄生電感U1G2加源極寄生電感㈣、源 s103與虛部乙參數的線性關係式,Zn是在波極端開 297公釐) 經濟部智慧財產局員工消費合作社印製 591448 A7 一 B7 五、發明說明(¾ ) 路的情況之下’計算閘極端電壓與電流之比值,可以得到 ⑺Im(Zn) + z —丄 ‘ Vw ς, 請參閱圖四所示,藉由該金屬氧化物半導體場效電晶 :之閘極寄生電感㈣1加源極寄生電感Ls〗03、汲極寄生 電感U102加源極寄生電感Lsl〇3、源極寄生電感l·與虛 心麥數的線性關係式,因此便可明利求㈣金屬氧化 物半導體場效電晶體之閘極寄生電感㈣、汲極寄生電 感Ldl02與源極寄生電感lsiq3。 最後,便以萃取出該金屬氧化物半導體場效電晶體 之閘極寄生電紅_、I極寄生電紅·與源極寄生電 感Ls103來建立金屬氧化物半導體場效電晶體之小信號等 效電路模型。 !5【特點及功效】 本發明所提供之以新的金屬氧化物半導體場效電晶體 傳輸線等效電路模型決定其寄生電感之方法,具有下列之 優點: 一、本發明藉由分散式電容傳輸線模型,更可完整地 20描述在零偏壓下,金屬氧化物半導體場效電晶體氧化物下 方之空乏區所產生的電容效應,並藉著量測z參數虛部的 作圖,可以找出Z參數虛部與頻率之線性關係,並且符合 所推導出的Z參數公式。由線性關係可得到該閘極、汲極 -10- 1Γ紙張尺度顧帽目家群 ί I I I 1 1 Γ I I I * I — III I I ^ ---- ----- {請先閱讀背面之注意事項再填寫本頁} 591448 經濟部智慧財產局員Η消費合作社印製 20 A7 五、發明說明) 與源極寄生電感效應數值。 二、隨著半導體元件之尺寸大幅縮小,本發明之金屬 氧化物半導體場效電晶體寄生電感量測萃取方法亦適用於 微米、次微米、深次微米元件、毫米元件或更細小元件的 3要求,而旎提供更精確、更值得信賴之寄生電容效應數 值。 二、本發明之金屬氧化物半導體場效電晶體寄生電感 萃取方法適用於一般、淺摻雜汲極(Ught_d〇ped ―仙 矽在絕緣體(silicon on insufator,s〇I)等有效之金屬氧化物半 1〇 導體場效電晶體結構。 —四、本發明之金屬氧化物半導體場效電晶體寄生電感 萃取方法適用於電晶體之基座材料可為矽。 五、本發明之金屬氧化物半導體場效電晶體寄生電感 萃取.方法剌於電晶體之閘極材料可為金屬或多晶石夕材 /、本毛明之金屬氧化物半導體場效電晶體寄生電 萃取方法適用於電晶體之閘極介電層㈣可為二氧化碎 氮化矽與氮氧化矽等之有效介電材料。 七、 本發明之金屬氧化物半導體場效電晶體寄生電 萃取方法適用於11型及p型金屬氧㈣半導體場效電晶體 八、 本發明之金屬氧化物半導體場效電晶體寄生電 萃取方法適用於量測頻率為射頻、微波、毫米波頻段。 上列詳細說明係針對本發明之—可行實施例之呈體 明,惟該實施例並非用以限制本發明之專利範圍^未 -11 - 297公釐) » el n —8 n« -ϋ _n a— .n n n MB· mt a··· 9M··^**r°J« n n n n ui I ϋ I {請先閱讀背面之注意事項再填寫本頁} 591448 經濟部智慧財產局員工消費合作社印製V. Description of the invention The small signal equivalent profile model of C in the case of zero bias. In this equivalent circuit, because the structure and bias of the gate-to-drain and inter-pole-to-source components are symmetrical, the distributed capacitor transmission line model can be used to represent the transistor oxidation under the condition of zero bias. Capacitive effects (including distributed series capacitor Cs20 and distributed parallel capacitor CP202) in the empty area below the object. This equivalent circuit fully describes the metal oxide semiconductor field effect transistor under zero bias. Capacitive and parasitic effects in the empty region under the oxide. Then, the effect of parasitic inductance can be extracted by switching between the S parameter and the z parameter. 10 15, please refer to Figure 3, when the metal oxide semiconductor field effect transistor is in the $ bias c n condition, the equivalent circuit model of the 仏 仏 equivalent circuit model can be expressed by the following Z parameter expression. siiih (y /) ^ cos ^^ l) sinh (y /) 2 = Z0 C, s. ', middle / is the length of the valley transmission line, r is the transmission line transmission parameter and Z〇 is the transmission line impedance parameter r: The formula of the ζ parameter can be obtained to obtain the parasitic inductance Lgl01 of the metal oxide half field-effect transistor plus the parasitic inductance of the source = 3. And parasitic inductance U1G2 plus source parasitic inductance ㈣, source s103 and the imaginary part B parameter, Zn is 297 mm at the extreme wave end) Printed by the Intellectual Property Bureau Staff Consumer Cooperative of the Ministry of Economic Affairs 591448 A7 B7 V. In the case of (¾) circuit, 'Calculate the ratio of the gate extreme voltage to the current, we can get ⑺Im (Zn) + z — 丄' Vw ς, please refer to Figure 4, by using the metal oxide semiconductor field effect Transistor: gate parasitic inductance ㈣1 plus source parasitic inductance Ls〗 03, drain parasitic inductance U102 plus source parasitic inductance Ls103, source parasitic inductance l · and the linear relationship between the open-hearted wheat number, so it can be Mingli seeks ㈣ the gate parasitic inductance of the metal oxide semiconductor field effect transistor, the drain parasitic inductance Ldl02 and the source parasitic inductance lsiq3. Finally, the small-parameter equivalent of the metal-oxide-semiconductor field-effect transistor is extracted by extracting the gate-parasitic electrical red of the metal-oxide-semiconductor field-effect transistor and the parasitic red of the I-pole and the source parasitic inductance Ls103. Circuit model. 5 [Features and effects] The method provided by the present invention for determining the parasitic inductance of a new metal oxide semiconductor field effect transistor transmission line equivalent circuit model has the following advantages: 1. The present invention uses a distributed capacitor transmission line The model can more completely describe the capacitive effect produced by the empty region under the metal oxide semiconductor field effect transistor under zero bias. By measuring the imaginary part of the z parameter, we can find out The linear relationship between the imaginary part of the Z parameter and the frequency is consistent with the derived Z parameter formula. From the linear relationship, the gate and drain can be obtained. -10- 1Γ Paper scale Gu hat family ί III 1 1 Γ III * I — III II ^ ---- ----- {Please read the note on the back first Please fill in this page again for the matters} 591448 Printed by the Intellectual Property Bureau of the Ministry of Economic Affairs and Consumer Cooperatives 20 A7 V. Description of the invention) and the value of the source parasitic inductance effect. 2. As the size of semiconductor elements is greatly reduced, the method for measuring and extracting parasitic inductance of metal oxide semiconductor field effect transistors of the present invention is also applicable to the 3 requirements of micron, submicron, deep submicron elements, millimeter elements or smaller components. And 旎 provides more accurate and reliable parasitic capacitance effect values. 2. The method for extracting parasitic inductance of a metal oxide semiconductor field effect transistor according to the present invention is applicable to general, shallowly doped drain (Ught_d〇ped-silicon on insufator, soI) and other effective metal oxides Half-conductor field-effect transistor structure.-Fourth, the method for extracting the parasitic inductance of the metal-oxide semiconductor field-effect transistor of the present invention is suitable for the base material of the transistor may be silicon. V. The metal-oxide semiconductor field of the present invention Parasitic inductance extraction of effect transistor. Method: The gate material of transistor can be metal or polycrystalline stone, and the metal oxide semiconductor field effect transistor parasitic electric extraction method of Ben Maoming is suitable for the gate dielectric of transistor. The electric layer can be an effective dielectric material such as broken silicon nitride nitride and silicon oxynitride. 7. The method for parasitic electric extraction of the metal oxide semiconductor field effect transistor of the present invention is applicable to 11-type and p-type metal oxyfluoride semiconductors. Field effect transistor 8. The method for parasitic electric extraction of the metal oxide semiconductor field effect transistor of the present invention is suitable for measuring frequencies in the radio frequency, microwave, and millimeter wave frequency bands. The detailed description is directed to the present invention—a feasible embodiment, but this embodiment is not intended to limit the scope of the patent of the present invention ^ Wei-11-297 mm) »el n —8 n« -ϋ _n a— .nnn MB · mt a ··· 9M ·· ^ ** r ° J «nnnn ui I ϋ I {Please read the precautions on the back before filling out this page} 591448 Printed by the Consumer Cooperative of Intellectual Property Bureau, Ministry of Economic Affairs

15 10 A7 五、發明說明(P) 離本發明技藝精神所為之等效實施或變更,均應包含於本 案之專利範圍中。 ^ ”’’τ、上所述,本案不但在技術思想上確屬創新,並能較 習用物品增進上述多項功效,應已充分符合新穎性及進步 5性之法定發明專利要件’爰依法提出申請,懇請貴局核 准本件發明專利申請案,以勵發明,至感德 ' L圖式簡單說明】 請參閱以下有關本發明-較佳實施例之詳細說明及 附圖’將可進-步瞭解本發明之技術内容及其目的功效 有關該實施例之附圖為·· 圖-為本發明之顯示金屬氧化物半導體場效m 信號等效電路模型圖; θ、圖一為本發明之金屬氧化物半導體場效電晶體在零介 壓h況之小信號等效剖面模型圖; 圖三為本„之金屬氧化物铸體場效電晶體在㈣ 壓情況之小信號等效電路模型圖; 圖四為本發明之線性關係式圖. 20【主要部分代表符號】 101閘極寄生電感Lg 102〉及極寄生電感L d 103源極寄生電感Ls 106閘極寄生電阻Rg 本紙張尺度翻中關家標準(CNS)A4規彳 -----^ ---------------!^9 (請先閱讀背面之注意事項再填寫本頁) -12 591448 A7 B7 ΡΑΠ9Π(ΛΠΡί Τ\Λ/Ρ „ 1 五、發明說明(15 10 A7 V. Description of the invention (P) Equivalent implementations or changes that deviate from the technical spirit of the present invention shall be included in the patent scope of this case. ^ "" Τ, as mentioned above, this case is not only technically innovative, but also enhances the above-mentioned multiple effects compared with conventional articles. It should have fully met the requirements of the statutory invention patent for novelty and progress, and applied in accordance with the law. I sincerely ask your office to approve this invention patent application, in order to stimulate the invention, to the sense of 'L scheme's simple description] Please refer to the following detailed description of the present invention-preferred embodiment and the accompanying drawings' will learn more about this The technical content of the invention and its effects The drawings related to this embodiment are as follows: Figure-is an equivalent circuit model diagram showing the field effect m signal of a metal oxide semiconductor of the present invention; θ, Figure 1 is the metal oxide of the present invention Small-signal equivalent cross-section model of a semiconductor field-effect transistor at zero dielectric pressure h; Figure 3 is a small-signal equivalent circuit model of a metal oxide cast field-effect transistor at high voltage; Figure 4 This is a linear relationship diagram of the present invention. 20 [Representative symbols of main parts] 101 Gate parasitic inductance Lg 102> and pole parasitic inductance L d 103 Source parasitic inductance Ls 106 Gate parasitic resistance Rg Standard (CNS) A4 Regulations ----- ^ ---------------! ^ 9 (Please read the precautions on the back before filling this page) -12 591448 A7 B7 ΡΑΠ9Π (ΛΠΡί Τ \ Λ / Ρ „1 V. Description of the invention (

107汲極寄生電阻Rd 108源極寄生電阻Rs 111閘極至源極之電容Cgs 112閘極至汲極之電容Cgd 113沒極至源極之電容Cds 115汲極至源極之電導gds 2氧化物與空乏區等效阻抗 201分散式串聯電容Cs 202分散式並聯電容CP {請先閱讀背面之注意事項再填寫本頁) 訂i i. 經濟部智慧財產局員工消費合作社印製107 Drain parasitic resistance Rd 108 Source parasitic resistance Rs 111 Gate-to-source capacitance Cgs 112 Gate-to-drain capacitance Cgd 113 No-to-source capacitance Cds 115 Drain-to-source conductance gds 2 Oxidation Equivalent impedance in the physical and empty area 201 distributed series capacitor Cs 202 distributed parallel capacitor CP {Please read the precautions on the back before filling this page) Order i i. Printed by the Consumer Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs

3 IX 本紙張尺度適用中國國家標準(CNS)A4規格(210 χ 297公釐)3 IX This paper size applies to China National Standard (CNS) A4 (210 x 297 mm)

Claims (1)

591448591448 經濟部智慧財產局員工消費合作社印製 20 2· •種讀的金屬氧化物半導體場效電日日日體傳輸線等效電路 疋其寄生電感之方法,其中該金屬氧化物半導體場 =電晶體包括-源極、m極與—基座,該方法 包括步驟如下: 步驟-··於該閘極加上—零㈣,並將該源極與汲極接 地,以形成-零偏麼金屬氧化物半導體場效電晶體; 步驟二··量測在零偏壓下的S參數; /驟一 ·以分散式電容傳輸線模型,代表在零偏遷金屬 =化物半導體場效電晶體下,電晶體氧化物氧化物下方之 ^乏區所產生的電容效應,並藉由一特定數學解析處理程 序以得到該金屬氧化物半導體場效電晶體之閘極寄生電感 加原極寄生電感、沒極寄生電感加源極寄生電感、源極寄 生電感與虛部Z參數的線性關係式,進而萃取出該金屬氧 化物半導體場效電晶體之閉極寄生電感、沒極寄生電感虚 源極寄生電感效應數值;以及 /、 步驟四:以該量測出該金屬氧化物半導體場效電晶體之 間極寄生電感、汲極寄生電感與源極寄生電感效應數值建 立該金屬氧化物半導體場效電晶體等效電路模型。 如申請專利範圍第i項所述之以新的金屬氧化物半導體場 效電晶體傳輸線等效電路模型決定其寄生電感之方法,立 中該步驟三之該特定數學解析處理程序包括: ’、 私序-:係藉著所量測之S參數,並將s參數轉換成找 數’以符合特定之Z參數公式’由該特定之2參數公式可得 ϋ張尺度適甭; CNS ) A4規格(2i〇X297公 請 閱 背 面 之 項 再 寫 本 頁 嗜 訂Printed by the Intellectual Property Bureau of the Ministry of Economic Affairs' Consumer Cooperatives 20 2 · • A method of reading the equivalent circuit of a metal oxide semiconductor field-effect power transmission line and its parasitic inductance, where the metal oxide semiconductor field = transistor includes -Source, m-pole, and-base, the method includes the following steps: Step-· Add -zero to the gate, and ground the source and drain to form a -zero bias metal oxide Semiconductor field-effect transistor; Step 2 · Measure the S-parameters at zero bias; / Step 1 · Using a distributed capacitance transmission line model, which represents the transistor oxidation under zero-offset metal = compound semiconductor field-effect transistor The capacitive effect generated by the ^ depleted region under the material oxide, and a specific mathematical analysis processing program is used to obtain the gate parasitic inductance of the metal oxide semiconductor field effect transistor plus the parasitic inductance of the original pole, The source parasitic inductance, the linear relationship between the source parasitic inductance and the imaginary part Z parameter, and then the closed-source parasitic inductance and non-polar parasitic inductance of the metal oxide semiconductor field effect transistor are extracted The value of the induced inductance effect; and /, step four: the measured value of the parasitic inductance, the drain parasitic inductance, and the source parasitic inductance between the metal oxide semiconductor field effect transistor is used to establish the metal oxide semiconductor field effect Transistor equivalent circuit model. As described in item i of the scope of the patent application, the method of determining the parasitic inductance of the new metal oxide semiconductor field effect transistor transmission line equivalent circuit model, the specific mathematical analysis processing procedure of the third step includes: ', private Preface-: The measured S-parameters are converted into s-parameters to match the specific Z-parameter formula. From this specific 2-parameter formula, the appropriate scale can be obtained; CNS) A4 specification ( 2i〇X297 Please read the item on the back and write on this page 5 ) 12( 經濟部智慧財產局員工消費合作社印製 =屬氧化物半導體場效電晶體之閘極寄生電感加源極 電感、及極寄生電感加源極寄生電感、 與虛部Z參數的線性關係式;以及 •再將此線性關係式求iH,即可求得該金屬氧化 …導體場效電晶體之閘極寄生《、汲極寄生電感與源 極寄生電感效應數值。 )申π專利範圍第2項所述之以新的金屬氧化物半導體場 效電晶體傳輸線等效電路模型決定其寄生電感之方法,其 中4特定之ζ參數公式推導方法包括步驟: …為當_氧化物半導體場效t晶體在零偏壓金屬氧化物 半導體場效電晶體的偏壓情況下,小信號等效電路模型 效電路以下列Z參數式表示: 、、 Z* 1 = (^g + K) + jco{Lg +4) + (2 〇? +Ζ,.ν) + —L_ 加C: 取其Z參數虛部,其中該三特定之z參數公式為 Wm(Z11) = y(Z +Z)_^2S —丄 其中’’為電容傳輸線的長度,r為電容傳輪線 常數。 t询 ι^Γ ^\ΐτ 以得到該特定之Ζ參數公式,Zli是在汲極端開路的情況之 下’計算閘極端電壓與電流之比值; 由該金屬氧化物半導體場效電晶體之閘極寄生電感加原 (請先閱讀背面之注意事項再填寫本頁}5) 12 (Printed by the Consumer Cooperatives of the Intellectual Property Bureau of the Ministry of Economic Affairs = gate parasitic inductance plus source inductance, and parasitic inductance plus source parasitic inductance, which is an oxide semiconductor field effect transistor, linear with the imaginary Z parameter Relational expressions; and • Find this linear relational expression iH, then you can get the metal oxidation ... the gate parasitics of the conductor field effect transistor, the values of the parasitic inductances of the drain and source, and the parasitic inductance of the source. The method of determining the parasitic inductance of the new metal-oxide semiconductor field-effect transistor transmission line equivalent circuit model described in the second item, wherein the derivation method of the 4 specific ζ parameter formula includes the steps:… 为 当 _oxide semiconductor field effect Under the bias condition of the zero-bias metal-oxide-semiconductor field-effect transistor, the small-signal equivalent circuit model effect circuit is represented by the following Z-parameter formula:,, Z * 1 = (^ g + K) + jco { Lg +4) + (2 〇? + Z, .ν) + —L_ plus C: take the imaginary part of the Z parameter, where the three specific z parameter formula is Wm (Z11) = y (Z + Z) _ ^ 2S — 丄 where '' is the length of the capacitor transmission line, r is the capacitor transmission line Constant. Query ^^ Γ ^ \ ΐτ to obtain the formula for this particular Z parameter. Zli is the calculation of the ratio of the gate extreme voltage to the current when the drain terminal is open; from the gate of the metal oxide semiconductor field effect transistor Parasitic inductance plus original (please read the precautions on the back before filling this page) 591448591448 £Δ22〇β〇6ΤννΡ - 16/17 10 5. 6. 15 經濟部智慧財產局員工消費合作社印製 20 8. 9 =電感:汲極寄生電感加源極寄生電感、源極寄生電 感Η虛部Z簽數的線性關係式可八、 場效電晶體之閉極寄生電减 蜀乳化物半導體 感效應數值。 越寄生«與源極寄生電 如申請專利範圍第1項所述之以新的金屬氧化物半„場效電晶體傳輸線等效電路模型決定其寄生電感之=呈 =金屬減物半導體場效電晶體之結構可為—般捧 雜汲極(hght-doped drain,LDD)與矽在έ邑緣 夕 S〇I)等有效之金屬氧化物半導體場效電晶:: 如申請專利範圍第1項所述之 效電晶體傳輸線等效電路模型争定盆^乳化物半導體場 士分人β 尘决疋其寄生電感之方法,豆 中该巫屬氧化物半導體場效電晶- 如申請專利範圍^項所述之·為石夕 效雷θ舻斤 所的孟屬氧化物半導體場 ^曰日體«線钱電路模型決定其寄生=屬氧化物半導體場效電晶體之基座材料可心型或ρ 型盃屬氧化物半導體場效電晶體。 Ρ 如申請專利範圍第1項所述之 a m μ ^ ’ 、孟屬氧化物半導體場 中:=電路模型決定其寄生電感之方法,其 中该置測頻率可為射頻、微波、毫米波頻段。 =料利範圍第1項所述之以新的金屬氧化物半導體場 傳輸線等效電路模型決定其寄生電感之方法,其 =金屬減物半導體場效電晶體閘極尺寸可為微米、次 试未、凍次微米或奈米。 如申請專利範圍第1項所述之以新的金屬氧化物半導體場 請 閱 讀 背 Λ 之 注 項 再 f 本 頁 % 4£ Δ22〇β〇6ΤννΡ-16/17 10 5. 6. 15 Printed by the Consumer Cooperatives of the Intellectual Property Bureau of the Ministry of Economic Affairs 20 8. 9 = Inductance: Drain parasitic inductance plus source parasitic inductance, source parasitic inductance, imaginary part The linear relationship of the number of Z-signs can be eight, the closed-circuit parasitic electric reduction effect of the field-effect transistor, the value of the semiconductor induction effect of the emulsion. The more parasitic «and source parasitic electricity as described in item 1 of the scope of the patent application, the new metal oxide half field-effect transistor transmission line equivalent circuit model determines its parasitic inductance = present = metal subtractive semiconductor field-effect electricity The structure of the crystal can be an effective metal-oxide semiconductor field-effect transistor such as a hght-doped drain (LDD) and silicon at the edge (Solo): such as the first item in the scope of patent application The equivalent circuit model of the effect transistor transmission line determines the method of determining the parasitic inductance of the β-emulsifier semiconductor field, and the parasitic inductance of the dust, such as the oxide semiconductor field-effect transistor in the bean-such as the scope of patent application ^ As mentioned in the item, the Mental oxide semiconductor field that Shi Xixiao Lei ’s θ 舻 pounds ^ said Japanese body «line money circuit model determines its parasitics = the base material of the oxide semiconductor field effect transistor can be heart-shaped or The ρ-type cup is an oxide semiconductor field-effect transistor. As described in item 1 of the scope of the patent application, am μ ^ ', in the monoxide oxide semiconductor field: = circuit model determines its parasitic inductance, where the measurement Frequency can be RF, microwave, millimeter wave = = The method for determining the parasitic inductance of a new metal oxide semiconductor field transmission line equivalent circuit model described in item 1 of the material range, which = the metal gate semiconductor field effect transistor gate size can be micron, sub-test No, frozen sub-micron or nanometer. For new metal oxide semiconductor field as described in the scope of patent application, please read the note of Λ and f on this page% 4 591448 ABCD 圍 範 請 申 17/1 P W I 06 06 2i PAO ίο 15 11 放電曰a體傳輸線等效f路模型決定其寄生電感之方法,^ 中β零偏壓金屬氧化物半導體場效電晶體S參數之量測J 具可為任何型式之網路分析儀。 1 〇·如申4專利範圍第i項所述之以新的金屬氧化物半導體續 效電晶體傳輸線等效電路模型決定其寄生電感之方法,其 :該=:物半導體場效電晶體之結構包括—歐姆接觸 a 乳化層,一通運層,一掩埋層與一基座。 如申請專利範圍第i項所述之以新的金屬氧化物半導 效電晶體傳輸線等效電路模型衫其寄生電感之 \ =金屬氧化物半導體場效電晶體之閘極材料可為多晶; 12·如申請專利範圍第i項所述之以新的 效電晶體傳輸線等效電路模型決定其寄生導體場 中金屬氧化物半導體場效電晶體之雷= /、 氧化石夕、氮㈣錢氧切之有效介電^層㈣可為二 ίΊ—,!·裝-----—1Τ~--ί I (請先閱讀背面之注意事項再填寫本頁) 4 經濟部智慧財產局員工消費合作社印製591448 ABCD Application Request 17/1 PWI 06 06 2i PAO ίο 15 11 The method of determining the parasitic inductance of the equivalent f-channel model of the a-body transmission line, ^ S-parameter of zero-bias metal oxide semiconductor field effect transistor in ^ The measuring jig can be any type of network analyzer. 1 〇 · As described in item 4 of the scope of patent 4, the method of determining the parasitic inductance of a new metal oxide semiconductor continuous-effect transistor transmission line equivalent circuit model is as follows: The structure of the field-effect transistor of the semiconductor Including-ohmic contact a emulsified layer, a transport layer, a buried layer and a base. As described in item i of the patent application, a new metal oxide semi-conducting transistor transmission line equivalent circuit model shirt has a parasitic inductance of the = metal oxide semiconductor field-effect transistor gate material can be polycrystalline; 12. As described in item i of the scope of the patent application, the equivalent circuit model of the new effect transistor transmission line is used to determine the thunder of the metal oxide semiconductor field effect transistor in its parasitic conductor field = /, oxide oxide, nitrogen oxide The effective dielectric ^ layer can be two Ί ,,! · Equipment -----— 1Τ ~ --ί I (Please read the notes on the back before filling out this page) 4 Printed by the Consumer Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs
TW91135509A 2002-12-09 2002-12-09 Method for determining parasitic inductance by using new metal oxide semiconductor FET transmission line equivalence circuit model TW591448B (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI417754B (en) * 2008-08-06 2013-12-01 Tokyo Electron Ltd Method for using multi-layer/multi-input/multi-output (mlmimo) models to create metal-gate structures

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
TWI417754B (en) * 2008-08-06 2013-12-01 Tokyo Electron Ltd Method for using multi-layer/multi-input/multi-output (mlmimo) models to create metal-gate structures

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