Abstract
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 function in this system. Particular attention is paid to the calculation of the electrical conductivity σ, and the density response function χnn. 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 σ 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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Kirkpatrick, T.R., Belitz, D. (2000). Quantum Kinetic Theory: The Disordered Electron Problem. In: Karkheck, J. (eds) Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems. NATO Science Series, vol 371. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4365-3_23
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DOI: https://doi.org/10.1007/978-94-011-4365-3_23
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