Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians

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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.
21 pages, no figures, updated version

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Mathematical Physics, Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/57350

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0304009
 http://arxiv.org/abs/math-ph/0304009

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arXiv