compact small-signal modelling of multiple- gate mosfets up to rf operation benjamin iñiguez*,...

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COMPACT SMALL-SIGNAL MODELLING OF MULTIPLE- GATE MOSFETs UP TO RF OPERATION Benjamin Iñiguez*, Antonio Lázaro*, Oana Moldovan*, Bogdan Nae* and Hamdy A. Hamid** *Department of Electronic Engineering, Universitat Rovira i Virgili, Tarragona, 43007 SPAIN. E-mail: [email protected] **Department of Electrical and Computer Engineering, McMaster University, Hamilton, Ontario, Canada

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Page 1: COMPACT SMALL-SIGNAL MODELLING OF MULTIPLE- GATE MOSFETs UP TO RF OPERATION Benjamin Iñiguez*, Antonio Lázaro*, Oana Moldovan*, Bogdan Nae* and Hamdy A

COMPACT SMALL-SIGNAL MODELLING OF MULTIPLE-GATE MOSFETs UP TO RF

OPERATION

Benjamin Iñiguez*, Antonio Lázaro*, Oana Moldovan*, Bogdan Nae* and Hamdy A. Hamid**

*Department of Electronic Engineering, Universitat Rovira i Virgili, Tarragona, 43007 SPAIN. E-mail: [email protected]**Department of Electrical and Computer Engineering, McMaster

University, Hamilton, Ontario, Canada

Page 2: COMPACT SMALL-SIGNAL MODELLING OF MULTIPLE- GATE MOSFETs UP TO RF OPERATION Benjamin Iñiguez*, Antonio Lázaro*, Oana Moldovan*, Bogdan Nae* and Hamdy A

Summary of the work performed

• Compact quasi-static models for symmetrical and assymetrical Double-Gate (DG) MOSFETs, cylindrical Gate-All Around (GAA) MOSFETs derived from the solution of the 1-D Poisson’s equation, leading to a unified charge control model from which the expressions of current, charges and small-signal parameters are obtained. This charge control model can also be applied to FinFETs.

• Analytical models of the short-channel effects obtained by solving the 2D/3D Poisson equation with the assumption that the electrostatic potential can be written as the sum of the solution of the 1D Poisson’s equation (the dominant one) and a remaining 2D/3D solution obtained using adequate techniques. These short-channel effect models are incorporated into the general models

• The charge control model can account for quantum confinement by using a corrected oxide capacitance which depends on the inversion centroid position, written in terms of the inversion charge

• Extension of the models to the high frequency and noise analysis using the active transmission line approach, considering also the gate tunneling noise source. Both drift-diffusion and hydrodinamic transport were considered

Page 3: COMPACT SMALL-SIGNAL MODELLING OF MULTIPLE- GATE MOSFETs UP TO RF OPERATION Benjamin Iñiguez*, Antonio Lázaro*, Oana Moldovan*, Bogdan Nae* and Hamdy A

Results

Normalized CGD (a, c) and CGS (b, d) with respect to the gate voltage, for VDS=1V (a, b) and VDS=0.1V (c, d). Solid line: DESSIS-ISE simulations; Symbol line: analytical model. Undoped DG MOSFET

0 50 100 150 20010

1

102

103

G ate Length(nm )

f T(GH

z)

C lassica l D rift-D iffusionC lassica l Tem perature M odelQ uantum D rift-D iffusionQ uantum Tem perature M odel

Simulated fT versus gate length for FinFET (Wfin=10 nm, Hfin=30 nm, tox=1.5 nm, tbox=50 nm, Vds=1 V, Vgs-VTH=0.5V)