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Pré-Publication, Document De Travail Année : 2010

Lifshitz tails for alloy type models in a constant magnetic field

Résumé

In this note, we study Lifshitz tails for a 2D Landau Hamiltonian perturbed by a random alloy-type potential constructed with single site potentials decaying at least at a Gaussian speed. We prove that, if the Landau level stays preserved as a band edge for the perturbed Hamiltonian, at the Landau levels, the integrated density of states has a Lifshitz behavior of the type $e^{-\log^2|E-2bq|}$.
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Dates et versions

hal-00480309 , version 1 (04-05-2010)
hal-00480309 , version 2 (24-08-2010)

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Citer

Frédéric Klopp. Lifshitz tails for alloy type models in a constant magnetic field. 2010. ⟨hal-00480309v2⟩
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