Absence of mobility edge for the Anderson random potential on tree graphs at weak disorder

被引：30

作者：

Aizenman, M. ^{[1
]}

Warzel, S. ^{[2
]}

机构：

[1] Princeton Univ, Dept Phys & Math, Princeton, NJ 08544 USA

[2] Tech Univ Munich, Zentrum Math, D-85747 Garching, Germany

来源：

EPL | 2011年 / 96卷 / 03期

基金：

美国国家科学基金会;

关键词：

ABSOLUTELY CONTINUOUS-SPECTRUM; BETHE LATTICE; LOCALIZATION; MODEL; OPERATORS; STATES; HAMILTONIANS; DIFFUSION; STABILITY; SYSTEM;

D O I：

10.1209/0295-5075/96/37004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Our recently established criterion for the formation of extended states on tree graphs in the presence of disorder is shown to have the surprising implication that for bounded random potentials, as in the Anderson model, there is no transition to a spectral regime of Anderson localization, in the form usually envisioned, unless the disorder is strong enough. Copyright (C) EPLA, 2011

引用

页数：6

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