Delocalization for Random Landau Hamiltonians with Unbounded Random Variables

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dc.creatorGerminet, François
dc.creatorKlein, Abel
dc.creatorMandy, Benoît
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:41Z
dc.date.available2026-07-07T12:46:41Z
dc.descriptionIn this note we prove the existence of a localization/delocalization transition for Landau Hamiltonians randomly perturbed by an electric potential with unbounded amplitude. In particular, with probability one, no Landau gaps survive as the random potential is turned on, the gaps close, filling up partly with localized states. A minimal rate of transport is exhibited in the region of delocalization. To do so, we exploit the a priori quantization of the Hall conductance and extend recent Wegner estimates to the case of unbounded random variables.
dc.identifierhttps://arxiv.org/abs/0902.4300
dc.identifierhttp://arxiv.org/abs/0902.4300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221466
dc.subjectMathematical Physics
dc.titleDelocalization for Random Landau Hamiltonians with Unbounded Random Variables
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