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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