# Lifshitz tails for alloy-type models in a constant magnetic field

@article{Klopp2010LifshitzTF,
title={Lifshitz tails for alloy-type models in a constant magnetic field},
author={Fr{\'e}d{\'e}ric Klopp},
journal={Journal of Physics A},
year={2010},
volume={43},
pages={474029}
}
• F. Klopp
• Published 5 May 2010
• Physics, Mathematics
• Journal of Physics A
In this paper, 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 .ResumeDans cette note, nous demontrons qu'en dimension 2, la densite d'etats integree d'un operateur de Landau avec un…
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