03-180 Alexander Elgart and Benjamin Schlein
Adiabatic charge transport and the Kubo formula for Landau Type Hamiltonians (68K, LaTeX) Apr 18, 03
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Abstract. The adiabatic charge transport is investigated in a two dimensional Landau model perturbed by a bounded potential at zero temperature. We show that if the Fermi level lies in a spectral gap then in the adiabatic limit the accumulated excess Hall transport is given by the linear response Kubo-Streda formula. The proof relies on the expansion of Nenciu, some generalized phase space estimates, and a bound on the speed of propagation.

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