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Inelastic quantum transport in superlattices: success and failure of the Boltzmann equation

A. Wacker·A. -P. Jauho·S. Rott·A. Markus·P. Binder·G. H. D"ohler
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Abstract

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift velocity-field relation and the momentum distribution function covering the whole field range from linear response to negative differential conductivity. The quantum results are compared with the respective results obtained from a Monte Carlo solution of the Boltzmann equation. Our analysis thus sets the limits of validity for the semiclassical theory in a nonlinear transport situation in the presence of inelastic scattering.

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A. Wacker, A. -P. Jauho, S. Rott, A. Markus, P. Binder, G. H. D"ohler. 1999-06-28. Inelastic quantum transport in superlattices: success and failure of the Boltzmann equation. https://doi.org/10.1103/physrevlett.83.836

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