Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians

Details Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians

2003-04-04

arxiv.org/abs/math-ph/0304009v2

Physics

Mathematical Physics

21 pages, no figures, updated version

Scientific paper

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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