A deterministic Boltzmann solver for GaAs devices based on the spherical harmonics expansion

Author

Bieder, J. ; Hong, S.-M. ; Jungemann, C.

Author_Institution

Joseph-Fourier Univ., Grenoble, France

fYear

2010

fDate

26-29 Oct. 2010

Firstpage

1

Lastpage

4

Abstract

A deterministic Boltzmann solver has been developed using a spherical harmonics expansion and is applied to gallium arsenide. The Newton-Raphson scheme is used to solve the nonlinear Boltzmann and Poisson equations. Inclusion of polar optical phonons and their projection onto spherical harmonics is performed. The Pauli exclusion principle is included with the assumption of an isotropic band structure for GaAs. Results are shown for a bulk system and n⁺-n_i-n⁺ structures, which emphasize the impact of the Pauli principle. AC simulations show plasma oscillations of the GaAs devices.

Keywords

Boltzmann equation; III-V semiconductors; Newton-Raphson method; Poisson equation; gallium arsenide; harmonics; nonlinear equations; semiconductor devices; GaAs; GaAs device; Newton-Raphson method; Pauli exclusion principle; Poisson equation; deterministic Boltzmann solver; gallium arsenide; isotropic band structure; nonlinear Boltzmann equation; plasma oscillation; polar optical phonon; spherical harmonics expansion; Electron mobility; Gallium arsenide; Harmonic analysis; Mathematical model; Optical scattering; Phonons;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electronics (IWCE), 2010 14th International Workshop on

Conference_Location

Pisa

Print_ISBN

978-1-4244-9383-8

Type

conf

DOI

10.1109/IWCE.2010.5677933

Filename

5677933