Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
نویسنده
چکیده
We study the adiabatic charge transport in a two dimensional Landau model perturbed by a bounded potential at zero temperature. It is proved that if the Fermi level falls in a spectral gap then in the adiabatic limit the accumulated excess Hall transport is correctly described by the linear response Kubo-Štreda formula. Corrections to the leading term are given in an asymptotic series for the Hall current in powers of the adiabatic parameter. The analysis is based on an expansion of Nenciu and a bound on the speed of propagation.
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Adiabatic Charge Transport and the Kubo Formula for 2d Hall Conductance
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