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APS » Journals » Phys. Rev. B » Volume 68 » Issue 24
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Phys. Rev. B 68, 241304(R) (2003) [4 pages]

Generalized drift-diffusion model for miniband superlattices

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L. L. Bonilla* and R. Escobedo
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain

Álvaro Perales
Departamento de Automática, Escuela Politécnica, Universidad de Alcalá, 28871 Alcalá de Henares, Spain

Received 20 August 2003; revised 6 October 2003; published 16 December 2003

A drift-diffusion model of miniband transport in strongly coupled superlattices is derived from the single-miniband Boltzmann-Poisson transport equation with a 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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.68.241304
DOI:
10.1103/PhysRevB.68.241304
PACS:
73.63.-b, 73.23.-b, 72.10.-d, 72.20.Ht

*Email address: bonilla@ing.uc3m.es.

 
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