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Phys. Rev. Lett. 83, 836–839 (1999)

Inelastic Quantum Transport in Superlattices: Success and Failure of the Boltzmann Equation

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Andreas Wacker
Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany

Antti-Pekka Jauho
Mikroelektronik Centret, Building 345 East, Danmarks Tekniske Universitet, 2800 Lyngby, Denmark

Stephan Rott, Alexander Markus, Peter Binder, and Gottfried H. Döhler
Institut für Technische Physik, Universität Erlangen, Erwin-Rommel-Strasse 1, 91058 Erlangen, Germany

Received 16 February 1999; published in the issue dated 26 July 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.836
DOI:
10.1103/PhysRevLett.83.836
PACS:
73.61.-r, 72.10.-d, 72.20.Ht