The Weak Localization for the Alloy-Type Anderson Model on a Cubic Lattice

被引：11
|
作者：
Cao, Zhenwei [1 ]
Elgart, Alexander [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
来源：
JOURNAL OF STATISTICAL PHYSICS | 2012年 / 148卷 / 06期
基金：
美国国家科学基金会;
关键词：
Anderson localization; Weak disorder; Feynman diagrams; Spectral analysis; LIFSHITZ TAILS; DISORDER LOCALIZATION; ENERGY; OPERATORS; SYSTEMS; STATES; LIMIT;
D O I：
10.1007/s10955-012-0562-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider alloy type random Schrodinger operators on a cubic lattice whose randomness is generated by the sign-indefinite single-site potential. We derive Anderson localization for this class of models in the Lifshitz tails regime, i.e. when the coupling parameter lambda is small, for the energies Ea parts per thousand currency signa'C lambda (2).
引用
收藏
页码：1006 / 1039
页数：34
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