Anderson-Bernoulli Localization at Large Disorder on the 2D Lattice

被引：3
|
作者：
Li, Linjun [1 ]
机构：
[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2022年 / 393卷 / 01期
关键词：
DIFFUSION; ABSENCE; PROOF; MODEL;
D O I：
10.1007/s00220-022-04366-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider the Anderson model at large disorder on Z(2) where the potential has a symmetric Bernoulli distribution. We prove that Anderson localization happens outside a small neighborhood of finitely many energies. These finitely many energies are Dirichlet eigenvalues of the minus Laplacian restricted on some finite subsets of Z(2).
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页码：151 / 214
页数：64
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