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Electrical conductivity of an interacting electron gas

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  • Kojima, David Y.

Abstract

The many-body theory by the propagator method developed by Montroll and Ward for equilibrium statistical mechanics, is reformulated to describe the electrical conductivity for an electron gas system containing impurity atoms. The theory includes electron-impurity interaction to infinite order and electron-electron interaction to the first order exchange effect. The propagator used by Montroll and Ward is separated into two propagators, each one of which satisfies either the Bloch or the Schrödinger equation, to utilize the perturbation method. Correct countings of graphs are presented. The change in the relaxation time due to the electronic interaction and the temperature change is discussed and compared with recent works.

Suggested Citation

  • Kojima, David Y., 1978. "Electrical conductivity of an interacting electron gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(1), pages 171-190.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:1:p:171-190
    DOI: 10.1016/0378-4371(78)90216-9
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