A Self-Consistent Numerical Method for Simulation of Quantum Transport in High Electron Mobility Transistor; Part I: The Boltzmann-Poisson-Schrodinger Solver

Department

Electrical and Computer Engineering

Document Type

Article

Publication Title

Mathematical Problems in Engineering

ISSN

1024123X

Volume

2

Issue

3

DOI

10.1155/S1024123X96000324

First Page

205

Last Page

218

Publication Date

1-1-1996

Abstract

A self-consistent Boltzmann-Poisson-Schrödinger solver for High Electron Mobility Transistor is presented. The quantization of electrons in the quantum well normal to the heterojunction is taken into account by solving the two higher moments of Boltzmann equation along with the Schrödinger and Poisson equations, self-consistently. The Boltzmann transport equation in the form of a current continuity equation and an energy balance equation are solved to obtain the transient and steady-state transport behavior. The numerical instability problems associated with the simulator are presented, and the criteria for smooth convergence of the solutions are discussed. The current-voltage characteristics, transconductance, gate capacitance, and unity-gain frequency of a single quantum well HEMT is discussed. It has been found that a HEMT device with a gate length of 0.7 μm, and with a gate bias voltage of 0.625 V, has a transconductance of 579.2 mS/mm, which together with the gate capacitance of 19.28 pF/cm, can operate at a maximum unity-gain frequency of 47.8 GHz. © 1996, OPA (Overseas Publishers Association).

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