Adiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians

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dc.creatorElgart, Alexander
dc.creatorSchlein, Benjamin
dc.date2003-04-04
dc.date2003-04-17
dc.date.accessioned2026-07-07T04:29:57Z
dc.date.available2026-07-07T04:29:57Z
dc.descriptionThe 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.
dc.description21 pages, no figures, updated version
dc.identifierhttps://arxiv.org/abs/math-ph/0304009
dc.identifierhttp://arxiv.org/abs/math-ph/0304009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57350
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.titleAdiabatic Charge Transport and the Kubo Formula for Landau Type Hamiltonians
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