Document Type
Article
Publication Date
1996
Publication Title
Mathematical Problems in Engineering
Volume
2
Issue
3
First page number:
205
Last page number:
218
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.
Keywords
Electrons—Scattering; Modulation-doped field-effect transistors; Semiconductors--Simulation methods; Transport theory
Disciplines
Electrical and Computer Engineering | Electronic Devices and Semiconductor Manufacturing | Engineering | Power and Energy | Signal Processing | Systems and Communications
Language
English
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Repository Citation
Khoie, R.
(1996).
A Self-Consistent Numerical Method for Simulation of Quantum Transport in High Electron Mobility Transistor; Part 1: The Boltzmann-Poisson-Schrodinger Solver.
Mathematical Problems in Engineering, 2(3),
205-218.
https://digitalscholarship.unlv.edu/ece_fac_articles/416
Included in
Electronic Devices and Semiconductor Manufacturing Commons, Power and Energy Commons, Signal Processing Commons, Systems and Communications Commons