Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder

被引：0
|
作者：
Wei-Min Wang
机构：
[1] UMR 8628 du CNRS,
[2] Département de mathématiques,undefined
[3] Université Paris-Sud,undefined
[4] Bâtiment 425,undefined
[5] 91405 Orsay Cedex,undefined
[6] France (e-mail: wei-min.wang@math.u-psud.fr),undefined
来源：
Inventiones mathematicae | 2001年 / 146卷
关键词：
Mathematics Subject Classification (1991): 35P, 60K, 81V;
D O I：
暂无
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学科分类号：
摘要：
We prove Anderson localization with the mean-field Lyapunov exponent and Poisson statistics for eigenvalue spacing for the multi-dimensional Anderson model at weak disorder. These results are obtained by developing the supersymmetric formalism initiated in [W1] (see also [SjW]). rid
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页码：365 / 398
页数：33
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