Generalized drift-diffusion model for miniband superlattices
arXiv:cond-mat/0310451 · doi:10.1103/PhysRevB.68.241304
Abstract
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.
4 pages, 3 figures, double-column revtex. To appear as RC in PRB
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