APPENDIX A: Parameter List

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APPENDIX A: Parameter List A.1 BSIM3v3 Model Control Parameters none level BSIMv3 model selector 8 none Mobmod mobmod Mobility model selector 1 none Capmod capmod Flag for the short channel 2 none capacitance model Nqsmod nqsmod Flag for NQS model 0 none Noimod noimod Flag for noise model 1 none A.2 DC Parameters Vth0 vth0 Threshold voltage @Vbs=0 for Large L. 0.7 (NMOS) V ni-1-0.7 (PMOS) K1 k1 First order body effect coefficient 0.5 V 1/2 ni-2 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-1

DC Parameters K2 k2 Second order body effect coefficient 0.0 none ni-2 K3 k3 Narrow width coefficient 80.0 none K3b k3b Body effect coefficient of k3 0.0 1/V W0 w0 Narrow width parameter 2.5e-6 m Nlx nlx Lateral non-uniform doping 1.74e-7 m parameter Vbm vbm Maximum applied body bias in -3.0 V Vth calculation Dvt0 dvt0 first coefficient of short-channel effect on Vth 2.2 none Dvt1 dvt1 Second coefficient of shortchannel effect on Vth Dvt2 dvt2 Body-bias coefficient of shortchannel effect on Vth Dvt0w dvt0w First coefficient of narrow width effect on Vth for small channel length Dvt1w dvtw1 Second coefficient of narrow width effect on Vth for small channel length Dvt2w dvt2w Body-bias coefficient of narrow width effect for small channel length µ0 u0 Mobility at Temp = Tnom NMOSFET PMOSFET 0.53 none -0.032 1/V 0 1/m 5.3e6 1/m -0.032 1/V 670.0 250.0 cm 2 /V/ sec A-2 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

DC Parameters Ua ua First-order mobility degradation coefficient Ub ub Second-order mobility degradation coefficient Uc uc Body-effect of mobility degradation coefficient 2.25E-9 m/v 5.87E-19 (m/v) 2 mobmod =1, 2: -4.65e-11 mobmod =3: -0.046 m/v 2 1/V νsat vsat Saturation velocity at Temp = Tnom A0 a0 Bulk charge effect coefficient for channel length 8.0E4 m/sec 1.0 none Ags ags gate bias coefficient of Abulk 0.0 1/V B0 b0 Bulk charge effect coefficient for channel width 0.0 m B1 b1 Bulk charge effect width offset 0.0 m Keta keta Body-bias coefficient of bulk -0.047 1/V charge effect A1 a1 First non-saturation effect 0.0 1/V parameter A2 a2 Second non-saturation factor 1.0 none Rdsw rdsw Parasitic resistance per unit width 0.0 Ω-µm Wr Prwb prwb Body effect coefficient of Rdsw 0 V -1/2 Prwg prwg Gate bias effect coefficient of Rdsw 0 1/V BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-3

DC Parameters Wr wr Width Offset from Weff for Rds calculation Wint wint Width offset fitting parameter from I-V without bias Lint lint Length offset fitting parameter from I-V without bias dwg dwg Coefficient of Weff s gate dependence dwb dwb Coefficient of Weff s substrate body bias dependence Voff voff Offset voltage in the subthreshold region at large W and L 1.0 none 0.0 m 0.0 m 0.0 m/v 0.0 m/v 1/2-0.08 V Nfactor nfactor Subthreshold swing factor 1.0 none Eta0 eta0 DIBL coefficient in subthreshold region 0.08 none Etab etab Body-bias coefficient for the -0.07 1/V subthreshold DIBL effect Dsub dsub DIBL coefficient exponent in drout none subthreshold region Cit cit Interface trap capacitance 0.0 F/m 2 Cdsc cdsc Drain/Source to channel coupling capacitance 2.4E-4 F/m 2 Cdscb cdscb Body-bias sensitivity of Cdsc 0.0 F/Vm 2 Cdscd cdscd Drain-bias sensitivity of Cdsc 0.0 F/Vm 2 Pclm pclm Channel length modulation parameter 1.3 none A-4 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

DC Parameters Pdiblc1 pdiblc1 First output resistance DIBL effect correction parameter Pdiblc2 pdiblc2 Second output resistance DIBL effect correction parameter Pdiblcb pdiblcb Body effect coefficient of DIBL correction parameters Drout drout L dependence coefficient of the DIBL correction parameter in Rout Pscbe1 pscbe1 First substrate current bodyeffect parameter Pscbe2 pscbe2 Second substrate current bodyeffect parameter Pvag pvag Gate dependence of Early voltage 0.39 none 0.0086 none 0 1/V 0.56 none 4.24E8 V/m 1.0E-5 m/v 0.0 none δ delta Effective Vds parameter 0.01 V Ngate ngate poly gate doping concentration 0 cm -3 α0 alpha0 The first parameter of impact ionization current β0 beta0 The second parameter of impact ionization current Rsh rsh Source drain sheet resistance in ohm per square Js0sw jssw Side wall saturation current density Jso js Source drain junction saturation current per unit area 0 m/v 30 V 0.0 Ω/ square 0 A/m 1.E-4 A/ m 2 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-5

AC and Capacitance Parameters A.3 AC and Capacitance Parameters Description Default Unit Note Xpart xpart Charge partitioning rate flag 0 none CGS0 cgso Non LDD region source-gate overlap capacitance per channel length CGD0 cgdo Non LDD region drain-gate overlap capacitance per channel length calculated F/m nc-1 calculated F/m nc-2 CGB0 cgbo Gate bulk overlap capacitance 0.0 F/m per unit channel length Cj cj Bottom junction per unit area 5e-4 F/m 2 Mj mj Bottom junction capacitance 0.5 grating coefficient Mjsw mjsw Source/Drain side junction capacitance grading coefficient 0.33 none Cjsw cjsw Source/Drain side junction capacitance per unit area Cjswg cjswg Source/drain gate sidwall junction capacitance grading coefficient Mjswg mjswg Source/drain gate sidewall junction capacitance coefficient 5.E-10 Cjsw Mjsw F/m F/m none A-6 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

AC and Capacitance Parameters Description Default Unit Note Pbsw pbsw Source/drain side junction 1.0 V built-in potential Pb pb Bottom built-in potential 1.0 V Pbswg pbswg Source/Drain gate sidewall Pbsw V junction built-in potential CGS1 cgs1 Light doped source-gate 0.0 F/m region overlap capacitance CGD1 cgd1 Light doped drain-gate region 0.0 F/m overlap capacitance CKAPPA ckappa Coefficient for lightly doped region overlap capacitance Fringing field capacitance 0.6 F/m Cf cf fringing field capacitance calculated F/m nc-3 CLC clc Constant term for the short 0.1E-6 m channel model CLE cle Exponential term for the short 0.6 none channel model DLC dlc Length offset fitting parameter lint m from C-V DWC dwc Width offset fitting parameter wint m from C-V Vfb vfb Flat-band voltage parameter (for capmod=0 only) -1 V BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-7

NQS Parameters A.4 NQS Parameters Elm elm Elmore constant of the channel 5 none A.5 dw and dl Parameters Wl wl Coefficient of length dependence for width offset 0.0 m Wln Wln wln Power of length dependence of width offset Ww ww Coefficient of width dependence for width offset Wwn wwn Power of width dependence of width offset Wwl wwl Coefficient of length and width cross term for width offset Ll ll Coefficient of length dependence for length offset Lln lln Power of length dependence for length offset 1.0 none 0.0 m Wwn 1.0 none 0.0 m Wwn+Wln 0.0 m Lln 1.0 none A-8 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

Temperature Parameters Lw lw Coefficient of width dependence for length offset 0.0 m Lwn Lwn lwn Power of width dependence for length offset Lwl lwl Coefficient of length and width cross term for length offset 1.0 none 0.0 m Lwn+Lln A.6 Temperature Parameters Tnom tnom Temperature at which parameters are extracted 27 o C µte ute Mobility temperature exponent Kt1 kt1 Temperature coefficient for threshold voltage Kt1l kt1l Channel length dependence of the temperature coefficient for threshold voltage Kt2 kt2 Body-bias coefficient of Vth temperature effect -1.5 none -0.11 V 0.0 V*m 0.022 none BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-9

Temperature Parameters Ua1 ua1 Temperature coefficient for Ua Ub1 ub1 Temperature coefficient for Ub Uc1 uc1 Temperature coefficient for Uc At at Temperature coefficient for saturation velocity Prt prt Temperature coefficient for Rdsw At at Temperature coefficient for saturation velocity nj nj Emission coefficient of junction XTI xti Junction current temperature exponent coefficient 4.31E-9-7.61E- 18 mobmod=1, 2: -5.6E-11 mobmod=3: -0.056 m/v (m/v) 2 m/v 2 1/V 3.3E4 m/sec 0 Ω-µm 3.3E4 m/sec 1 none 3.0 none A-10 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

Flicker Noise Model Parameters A.7 Flicker Noise Model Parameters Noia noia Noise parameter A (NMOS) 1e20 (PMOS) 9.9e18 Noib noib Noise parameter B (NMOS) 5e4 (PMOS) 2.4e3 Noic noic Noise parameter C (NMOS) -1.4e- 12 (PMOS) 1.4e-12 none none none Em em Saturation field 4.1e7 V/m Af af Frequency exponent 1 none Ef ef Flicker exponent 1 none Kf kf Flicker noise parameter 0 none A.8 Process Parameters Tox tox Gate oxide thickness 1.5e-8 m Xj xj Junction Depth 1.5e-7 m γ1 gamma1 Body-effect coefficient near the surface calculated V 1/2 ni-4 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-11

Bin Description Parameters γ2 gamma2 Body-effect coefficient in the bulk calculated V 1/2 ni-5 Nch nch Channel doping concentration 1.7e17 1/cm 3 ni-3 Nsub nsub Substrate doping concentration 6e16 1/cm 3 Vbx vbx Vbs at which the depletion region width equals xt calculated Xt xt Doping depth 1.55e-7 m V ni-6 A.9 Bin Description Parameters Lmin lmin Minimum channel length 0.0 m Lmax lmax Maximum channel length 1.0 m Wmin wmin Minimum channel width 0.0 m Wmax wmax Maximum channel width 1.0 m binunit binunit Bin unit scale selector 1 none A-12 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley

Model Parameter Notes A.10Model Parameter Notes ni-1. If Vtho is not specified, it is calculated using: V = V + φ + K tho FB s 1 s where VFB=-1.0. If Vth0 is specified, VFB is calculated using φ V = V φ K FB tho s 1 s ni-2. If k1 and k2 are not given, they are calculated using: φ K = gamma 2K φs V 1 2 2 bm K 2 ( gamma1 gamma2)( φs Vbx φs) = 2 φs( φs Vbm φs) + Vbm where the parameter phi is calculated using: φs = 2vtm0 ln Nch ni v tm0 = kbt q nom BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-13

Model Parameter Notes n i = 145. x10 10 Tnom 300. 15 15. E exp 21. 5565981 2 v g0 tm0 E g0 4 2 nom 702. x10 T = 116. Tnom + 1108 where E g0 is the energy bandgap at temperature Tnom. ni-3. If nch is not given and gamma1 is given, nch is calculated from: N ch = gamma1 C 2qεsi 2 2 ox If both gamma1 and nch are not given, nch defaults to 1.7e23 1/m 3 and gamma1 is calculated from nch. ni-4. If gamma1 is not given, it is calculated using: gamma 1 = 2qε C si ox N ch ni-5. If gamma2 is not given, it is calculated using: gamma 2 = 2qε C si ox N sub BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-14

Model Parameter Notes ni-6. If vbx is not given, it is calculated using: V bx qnchx = φs 2ε si 2 t nc-1. If cgso is not given then it is calculated using: if (dlc is given and is greater 0) then, cgso = p1 = (dlc*cox) - cgs1 if (the previously calculated cgso <0), then cgso=0 else cgso = 0.6 xj*cox nc-2. If cgdo is not given then it is calculated using: if (dlc is given and is greater than 0) then, cgdo = p2 = (dlc*cox) - cgd1 if (the previously calculated cgdo <0), then cgdo=0 else cgdo = 0.6 xj*cox BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-15

Model Parameter Notes nc-3. If cf is not given then it is calculated using: CF = + 2ε 1 4 10 7 ox ln π Tox BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-16

Model Parameter Notes BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley A-17

Model Parameter Notes A-18 BSIM3v3 Manual Copyright 1995, 1996, UC Berkeley