High-field approximations of the energy-transport model for semiconductors with non-parabolic band structure
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- Degond, P. & Jüngel, A. Z. angew. Math. Phys. (2001) 52: 1053. doi:10.1007/PL00001583
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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.