The KAM approach to the localization in "haarsch" quasi-periodic media

被引：2

作者：

Chulaevsky, Victor ^{[1
]}

机构：

[1] Univ Reims, Dept Math Moulin Housse, BP 1039, F-51687 Reims 2, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 01期

关键词：

TIGHT-BINDING MODEL; ANDERSON LOCALIZATION; SCHRODINGER-OPERATORS; LARGE DISORDER; POTENTIALS;

D O I：

10.1063/1.4995024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a Kolmogorov-Arnold-Moser type approach to the spectral analysis of lattice Schrodinger operators with quasi-periodic potentials. In the strong disorder regime, we prove uniform exponential localization and establish measure-theoretic bounds on the "resonant" sets which are substantially stronger than in prior studies on localization in deterministic disordered environments. Published by AIP Publishing.

引用

页数：18

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