Quantum kinetic theory: The disordered electron problem

Details Quantum kinetic theory: The disordered electron problem Quantum kinetic theory: The disordered electron problem

1998-11-04

arxiv.org/abs/cond-mat/9811056v1

in "Dynamics: Models and Kinetic Methods for Non-Equilibrium Many Body Systems", J. Karkheck (ed.), Kluwer (Dordrecht 2000), p

Physics

Condensed Matter

Statistical Mechanics

20 pp., LaTeX, psfig, 7 figs., requires Kluwer style file (included)

Scientific paper

These are notes for lectures delivered at the NATO ASI on Dynamics in Leiden, The Netherlands, in July 1998. The quantum kinetic theory for noninteracting electrons in a disordered solid is introduced and discussed. We first use many-body theory to derive the quantum Boltzmann equation that describes transport and time correlation functions in this system. Particular attention is paid to the calculation of the electrical conductivity and the density response function. We then consider corrections to the Boltzmann equation due to wave interference effects. The disorder expansion of the conductivity is addressed, and the so-called weak localization or long-time tail contribution to the conductivity is discussed. We conclude with a brief discussion of the influence of electron-electron interactions on the properties of disordered electronic systems.

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