High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure

Abstract.

An asymptotic analysis of the energy-transport equations for semiconductors with the scaled mean free path as small parameter is performed. Using a variant of the Chapman-Enskog method, high-field drift-diffusion models are derived. Furthermore, the dependence of the macroscopic parameters such as the mobility and the diffusivity are investigated for parabolic and non-parabolic band approximations (in the sense of Kane). Explicit expressions of the physical parameters are obtained.