Abstract

AbstractA general expression for the frequency‐dependent conductivity of an electron‐impurity system is derived by the method of generalized Langevin equation. The conductivity has the form of the classical Drude formula with complex frequency‐dependent relaxation time derived from the correlation function of the random force. The correlation function of the total force is calculated in the Born approximation. The asymptotic long time behavior of this function indicates that its time integral has a plateau for times larger than the duration of a collision. This result and the absence of the exponential decay enables to define an approximate relaxation time from the total force correlation function calculated in the Born approximation.

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