Multigroup Equations for the Description of the Particle Transport in Semiconductors

In this chapter, two types of models for polar semiconductors are applied for investigating the particle transport in indium phosphide: a two-valley model and a three-valley model. Besides the number of the considered energy bands, these models differ mainly in the material parameters used for InP, which vary especially in the energy separation between the ? and the L valleys. In the reference for the material data of the two-valley model [Vaissiere et al. (1992)], we find ? ? L = 0.61 eV, while [Maloney and Prey (1977)] tells us that ? ? L = 0.86 eV as it is used in the three-valley model. The differences in the resulting transport quantities obtained by the two models are mainly a consequence of the differences in the used input parameter.
In this section, we use the multigroup model equations (3.40) for simulating the particle transport in indium phosphide. Therefore, we consider n-type InP with a doping concentration of N D = 10 17cm -3 at the temperature T L = 300 K. Therefore, we are allowed to neglect holes in the valence band. The conduction band is approximated by the ? valley centered at (0, 0, 0) and four equivalent L valleys along ?1, 1, 1 ?. These valleys are assumed to be spherical and non-parabolic. The X valleys are neglected in our calculations. The material parameters, we use in our calculations are...