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

被引：5
|
作者：
Klopp, Frederic [1 ,2 ]
机构：
[1] Univ Paris 13, LAGA, CNRS, UMR 7539, F-93430 Villetaneuse, France
[2] Inst Univ France, F-75005 Paris, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 47期
关键词：
DENSITY-OF-STATES; SCHRODINGER-OPERATORS;
D O I：
10.1088/1751-8113/43/47/474029
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 e(-log2) (vertical bar E-2bq vertical bar).
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收藏
页数：9
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