Generalized drift-diffusion model for miniband superlattices

Details Generalized drift-diffusion model for miniband superlattices Generalized drift-diffusion model for miniband superlattices

2003-10-20

arxiv.org/abs/cond-mat/0310451v1

Phys. Rev. B 68, 241304 (2003).

Physics

Condensed Matter

Materials Science

4 pages, 3 figures, double-column revtex. To appear as RC in PRB

Scientific paper

10.1103/PhysRevB.68.241304

A drift-diffusion model of miniband transport in strongly coupled superlattices is derived from the single-miniband Boltzmann-Poisson transport equation with a BGK (Bhatnagar-Gross-Krook) collision term. We use a consistent Chapman-Enskog method to analyze the hyperbolic limit, at which collision and electric field terms dominate the other terms in the Boltzmann equation. The reduced equation is of the drift-diffusion type, but it includes additional terms, and diffusion and drift do not obey the Einstein relation except in the limit of high temperatures.

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