Implementation of piecewise-linear model for self-consistent calculation of resonant tunnelling current

Author

Leung, C.S.Y. ; Skellern, D.J.

Author_Institution

Dept. of Electron., Macquarie Univ., NSW, Australia

fYear

1996

fDate

8-11 Dec 1996

Firstpage

267

Lastpage

270

Abstract

A piecewise-linear model is developed for calculating the resonant tunnelling current when the potential profile is non-linear and has a non-uniform mesh size. This model is apparently better suited for an arbitrary user-specified grid or mesh points generally used in heterostructure semiconductor device modelling programs for solving the one-dimensional Poisson equation. We have implemented the Airy function solutions and transfer matrix technique in this model to calculate the electron transmission probability and charge distribution. The use of a non-uniform mesh size can improve accuracy and reduce computational time for self-consistent calculations of the tunnelling current

Keywords

Schrodinger equation; current distribution; nonlinear differential equations; piecewise-linear techniques; resonant tunnelling devices; semiconductor device models; semiconductor quantum wells; transfer function matrices; Airy function solutions; arbitrary user-specified grid; charge distribution; electron transmission probability; heterostructure semiconductor device modelling programs; nonlinear potential profile; nonuniform mesh size; one-dimensional Poisson equation; piecewise-linear model; resonant tunnelling current; self-consistent calculation; transfer matrix technique; Bismuth; Effective mass; Electrons; Mathematics; Piecewise linear techniques; Poisson equations; Probability; Resonant tunneling devices; Schrodinger equation; Semiconductor process modeling;

fLanguage

English

Publisher

ieee

Conference_Titel

Optoelectronic and Microelectronic Materials And Devices Proceedings, 1996 Conference on

Conference_Location

Canberra, ACT

Print_ISBN

0-7803-3374-8

Type

conf

DOI

10.1109/COMMAD.1996.610124

Filename

610124