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Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians

Alexander Elgart·Benjamin Schlein
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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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Alexander Elgart, Benjamin Schlein. 2003-04-17. Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians. https://arxiv.org/abs/math-ph/0304009

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