Linear response theory for magnetic Schroedinger operators in disordered media

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dc.creatorBouclet, Jean-Marc
dc.creatorGerminet, Francois
dc.creatorKlein, Abel
dc.creatorSchenker, Jeffrey H.
dc.date2004-08-18
dc.date2005-01-21
dc.date.accessioned2026-07-07T06:22:20Z
dc.date.available2026-07-07T06:22:20Z
dc.descriptionWe justify the linear response theory for an ergodic Schroedinger operator with magnetic field within the non-interacting particle approximation, and derive a Kubo formula for the electric conductivity tensor. To achieve that, we construct suitable normed spaces of measurable covariant operators where the Liouville equation can be solved uniquely. If the Fermi level falls into a region of localization, we recover the well-known Kubo-Streda formula for the quantum Hall conductivity at zero temperature.
dc.descriptionLatex, 68 pages, misprints corrected, formatting changed
dc.identifierhttps://arxiv.org/abs/math-ph/0408028
dc.identifierhttp://arxiv.org/abs/math-ph/0408028
dc.identifierJ. Func. Anal. 226 (2005), 301-372
dc.identifierdoi:10.1016/j.jfa.2005.02.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95878
dc.subjectMathematical Physics
dc.subjectPrimary 82B44; Secondary 47B80, 60H25
dc.titleLinear response theory for magnetic Schroedinger operators in disordered media
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