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

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

1999-02-25

arxiv.org/abs/cond-mat/9902344v2

Physical Review Letters 83, 836 (1999)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

final version with minor changes, to appear in Physical Review Letters, sceduled tentatively for July, 26 (1999)

Scientific paper

10.1103/PhysRevLett.83.836

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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