Generalized drift-diffusion model for miniband superlattices
Materials Science
2007-05-23 v1 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.cond-mat/0310451,
title = {Generalized drift-diffusion model for miniband superlattices},
author = {L. L. Bonilla and R. Escobedo and A. Perales},
journal= {arXiv preprint arXiv:cond-mat/0310451},
year = {2007}
}
Comments
4 pages, 3 figures, double-column revtex. To appear as RC in PRB