Decorrelation Estimates for Random Discrete Schrodinger Operators in Dimension One and Applications to Spectral Statistics

被引：3

作者：

Shirley, Christopher ^{[1
]}

机构：

[1] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2015年 / 158卷 / 06期

关键词：

Random Schrodinger operators; Decorrelation estimates; Minami estimates; Spectral statistics; LOCALIZATION; MODEL;

D O I：

10.1007/s10955-014-1168-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of the present work is to establish decorrelation estimates for some random discrete Schrodinger operator in dimension one. We prove that the Minami estimates are consequences of the Wegner estimates and localization. We also prove decorrelation estimates at distinct energies for the random hopping model and Schrodinger operators with alloy-type potentials. These results are used to give a description of the spectral statistics.

引用

页码：1298 / 1340

页数：43

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