Theory of Coherent Time-dependent Transport in One-dimensional Multiband Semiconductor Superlattices

Preprint

1 May 1996

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9605006

Abstract

We present an analytical study of one-dimensional semiconductor superlattices in external electric fields, which may be time-dependent. A number of general results for the (quasi)energies and eigenstates are derived. An equation of motion for the density matrix is obtained for a two-band model, and the properties of the solutions are analyzed. An expression for the current is obtained. Finally, Zener-tunneling in a two-band tight-binding model is considered. The present work gives the background and an extension of the theoretical framework underlying our recent Letter [J. Rotvig {\it et al.}, Phys. Rev. Lett. {\bf 74}, 1831 (1995)], where a set of numerical simulations were presented.

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Version 1, 1996-05-01, ArXiv
Published version: Physical Review B, 54 (24), 17691.

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