A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. I: The Boltzmann-Poisson-Schrödinger solver
type: Item
instance of: scholarly article
title: A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. I: The Boltzmann-Poisson-Schrödinger solver
zbMATH Open document ID: 0919.65096
DOI: 10.1155/S1024123X96000324
author: R. Khoie
published in: Mathematical Problems in Engineering
publication date: 1999-08-23T00:00:00Z
full work available at URL: https://eudml.org/doc/48209
review text: Summary: 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-sate 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 \(0.7\;\mu m\), 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.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 1283597
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Monte Carlo method
zbMATH Keywords: high electron mobility transistor
zbMATH Keywords: Poisson equations
zbMATH Keywords: Boltzmann transport equation
zbMATH Keywords: numerical instability
zbMATH Keywords: convergence
zbMATH Keywords: quantum well
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1283597