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Quantum transport equations for vibrating isotopically disordered crystals

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  • Van Keer, R.
  • Phariseau, P.

Abstract

A transport equation approach is developed for the linear response of the electron-phonon system in a vibrating isotopically disordered crystal to a frequency dependent electric field. The smallness of the mutual differences of the various masses is taken into account to derive a microscopic set of equations for the phonon and electron distribution functions. Applying an appropriate averaging technique, we obtain a set of equations from which the relevant macroscopic transport equation and hence physical quantities, such as the electrical conductivity, may be derived.

Suggested Citation

  • Van Keer, R. & Phariseau, P., 1978. "Quantum transport equations for vibrating isotopically disordered crystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(2), pages 245-259.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:2:p:245-259
    DOI: 10.1016/0378-4371(78)90112-7
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