A new approach to inverse transport coefficients

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Abstract
The evaluation of inverse transport coefficients is considered within the framework of the quantum theory of equilibrium fluctuations. It is shown that explicit evaluation of the quantum form of Nyquist‘s theorem gives a general expression for the diagonal part of the resistivity tensor in terms of the Fourier components of the fluctuating force or as a force–force correlation function. The forms of this expression in the one-electron approximation are also given. The relationship of the expression to those given by other authors is discussed. The theory is applied to the resistivity at an Anderson–Mott transition. A discontinuous change in the resistivity is found at the transition due to scattering from bound states. An approximate expression for the maximum resistivity is obtained and this agrees, apart from a numerical factor, with the results of Mott.

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