Adiabatic Charge Transport and the Kubo Formula for 2d Hall Conductance
نویسندگان
چکیده
We study adiabatic charge transport in a two dimensional lattice model of electron gas at zero temperature. It is proved that if the Fermi level falls in the localization regime then, for a slowly varied weak electric field, 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 extension of an expansion of Nenciu, with the spectral gap condition replaced by localization bounds. Dedicated to Jean Michel Combes, on the occasion of his Sixtieth Birthday.
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