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Phys. Rev. B 62, 2786–2796 (2000)

Microscopic derivation of transport coefficients and boundary conditions in discrete drift-diffusion models of weakly coupled superlattices

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L. L. Bonilla
Departamento de Matemáticas, Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain
Unidad Asociada al Instituto de Ciencia de Materiales (CSIC)

G. Platero and D. Sánchez
Instituto de Ciencia de Materiales (CSIC), Cantoblanco, 28049 Madrid, Spain

Received 29 September 1999; revised 2 February 2000; published in the issue dated 15 July 2000

A discrete drift-diffusion model is derived from a microscopic sequential tunneling model of charge transport in weakly-coupled superlattices provided temperatures are low or high enough. Realistic transport coefficients and contact current-field characteristic curves are calculated from microscopic expressions, knowing the design parameters of the superlattice. Boundary conditions clarify when possible self-sustained oscillations of the current are due to monopole or dipole recycling.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.62.2786
DOI:
10.1103/PhysRevB.62.2786
PACS:
72.20.Ht, 73.50.Fq, 73.40.-c