Abstract
A single (nonrelativistic, spinless) electron subject to a constant external electric field interacts with impurities located on an infinitely extended lattice by a potential of random strength. The random strength is given by a field of Gaussian random variables. We show the existence of the averaged dynamics and prove that in the weak coupling limit, λ → 0, λ2 t=τ fixed, one obtains the usual transport equation for the velocity distribution.
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Work supported by a Max Kade Foundation fellowship.
On leave of absence of the Fachbereich Physik der Universität München.
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Spohn, H. Derivation of the transport equation for electrons moving through random impurities. J Stat Phys 17, 385–412 (1977). https://doi.org/10.1007/BF01014347
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DOI: https://doi.org/10.1007/BF01014347