Multigroup Equations for the Description of the Particle Transport in Semiconductors

Chapter 5: Particle Transport in Gallium Arsenide

5.1 Introduction

This chapter deals with the investigation of the particle transport in gallium arsenide with the help of the multigroup model equations (3.40). The calculations are performed for n-type GaAs at the temperature T L = 300 K. The influence of holes in the valence band is completely neglected. The conduction band is approximated by the ? valley centered at ?0, 0, 0 ?, four equivalent L valleys along ?1, 1, 1 ? and three equivalent X valleys along ?1, 0, 0 ?. All of these valleys are assumed to be spherical and non-parabolic [Conwell and Vassel (1968)].

Concerning the scattering mechanisms, we consider acoustic deformation potential and acoustic piezoelectric scattering. Furthermore, we take into account polar optical, optical deformation potential scattering in the L valleys and impurity scattering, which are all intravalley processes, as well as non-polar optical intervalley scattering. Since the acoustic deformation potential and the piezoelectric scattering are not efficient at 300 K [Conwell and Vassel (1968); Fawcett et al. (1979)], these mechanisms are regarded as being elastic. The ionized impurity scattering is described with the help of the Brooks-Herring model [Brooks and Herring (1951)] and by assuming equal electron and donor concentrations. As for the LO phonons, we include the polar optical interaction and phonon-phonon thermalization processes in their kinetic equations. The material parameters used in our calculations are found in Tab. 4.3 and are taken from [Klemens (1966); Constant (1985); von der Linde...

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