Abstract

The impurity resistance of an interacting electron gas is evaluated at low but finite temperatures. Analytic techniques similar to those developed by the author for use in the zero-temperature problem are applied to the complete Kubo formula. The calculations are exact to all orders in the electron-electron interactions and to lowest order in the concentration of impurities. To lowest order in the temperature the conductivity is given correctly by the independent quasi-particle model. Corrections of order ${T}^{2}$ are discussed in detail. It is shown that the only nonvanishing term of this order which explicitly contains the correlation between two quasi-particles is independent of the impurity concentration, and thus may almost always be neglected.

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