arXiv
Open Access
2010
Lifshitz tails for alloy type models in a constant magnetic field
Frédéric Klopp
Abstrak
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 $e^{-\log^2|E-2bq|}$.
Penulis (1)
F
Frédéric Klopp
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2010
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- en
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- arXiv
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- Open Access ✓