Lifshitz Tails for a Class of Schrodinger Operators with Random Breather-Type Potential

被引:16
|
作者
Kirsch, Werner [1 ]
Veselic, Ivan [2 ]
机构
[1] Fern Univ Hagen, Fak Math & Informat, Hagen, Germany
[2] Fak Math, D-09107 Chemnitz, Germany
关键词
random Schrodinger operators; integrated density of states; Lifshitz tails; breather model; non-linear randomness; INTEGRATED DENSITY; LOCALIZATION; STATES;
D O I
10.1007/s11005-010-0417-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive bounds on the integrated density of states for a class of Schrodinger operators with a random potential. The potential depends on a sequence of random variables, not necessarily in a linear way. An example of such a random Schrodinger operator is the breather model, as introduced by Combes, Hislop and Mourre. For these models, we show that the integrated density of states near the bottom of the spectrum behaves according to the so called Lifshitz asymptotics. This result can be used to prove Anderson localization in certain energy/disorder regimes.
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页码:27 / 39
页数:13
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