A fast approach to discontinuous Galerkin solvers for Boltzmann-Poisson transport systems for full electronic bands and phonon scattering

Author

Gamba, Irene M. ; Majorana, Armando ; Morales, Jose A. ; Shu, Chi-Wang

Author_Institution

ICES, Univ. of Texas at Austin, Austin, TX, USA

fYear

2012

fDate

22-25 May 2012

Firstpage

1

Lastpage

4

Abstract

The present work is motivated by the development of a fast DG based deterministic solver for the extension of the BTE to a system of transport Boltzmann equations for full electronic multiband transport with intraband scattering mechanisms. Our proposed method allows to find scattering effects of high complexity, such as anisotropic electronic bands or full band computations, by simply using the standard routines of a suitable Monte Carlo approach only once. In this short paper, we restrict our presentation to the single band problem as it will be also valid in the multiband system as well. We present preliminary numerical tests of this method using the Kane energy band model, for a 1-D 400nm n⁺ - n - n⁺ silicon channel diode, showing moments at t = 0.5ps and t = 3.0ps.

Keywords

Boltzmann equation; Galerkin method; Monte Carlo methods; electron-phonon interactions; Boltzmann-Poisson transport systems; Kane energy band model; Monte Carlo method; discontinuous Galerkin solvers; electron-phonon interactions; electronic bands; electronic multi-band transport; intra-band scattering; multi-band system; phonon scattering; silicon channel diode; single band problem; Approximation methods; Equations; Mathematical model; Moment methods; Monte Carlo methods; Scattering; Standards;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Electronics (IWCE), 2012 15th International Workshop on

Conference_Location

Madison, WI

Print_ISBN

978-1-4673-0705-5

Type

conf

DOI

10.1109/IWCE.2012.6242847

Filename

6242847