The Bootstrap Multiscale Analysis for the Multi-particle Anderson Model

被引：29

作者：

Klein, Abel ^{[1
]}

Nguyen, Son T. ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2013年 / 151卷 / 05期

基金：

美国国家科学基金会;

关键词：

WEGNER ESTIMATE; LOCALIZATION; PROOF;

D O I：

10.1007/s10955-013-0734-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend the bootstrap multi-scale analysis developed by Germinet and Klein to the multi-particle Anderson model, obtaining Anderson localization, dynamical localization, and decay of eigenfunction correlations.

引用

页码：938 / 973

页数：36

共 29 条

[1] Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians
Klein, Abel
Nguyen, Son T.
JOURNAL OF SPECTRAL THEORY, 2015, 5 (02) : 399 - 444
[2] Eigensystem bootstrap multiscale analysis for the Anderson model
Klein, Abel
Shing, Chi
Tsang, Sidney
JOURNAL OF SPECTRAL THEORY, 2018, 8 (03) : 1149 - 1197
[3] Localization in the multi-particle tight-binding Anderson model at low energy
Ekanga, Tresor
REVIEWS IN MATHEMATICAL PHYSICS, 2020, 32 (03)
[4] Multi-particle Anderson Localisation: Induction on the Number of Particles
Chulaevsky, Victor
Suhov, Yuri
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2009, 12 (02) : 117 - 139
[5] An Eigensystem Approach to Anderson Localization for Multi-particle Systems
Bringmann, Bjoern
Mendelson, Dana
ANNALES HENRI POINCARE, 2021, 22 (10): : 3255 - 3290
[6] Efficient Anderson localization bounds for large multi-particle systems
Chulaevsky, Victor
Suhov, Yuri
JOURNAL OF SPECTRAL THEORY, 2017, 7 (01) : 269 - 320
[7] Multi-particle localization for weakly interacting Anderson tight-binding models
Ekanga, Tresor
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (04)
[8] Wegner-type Bounds for a Multi-particle Continuous Anderson Model with an Alloy-type External Potential
de Monvel, A. Boutet
Chulaevsky, V.
Stollmann, P.
Suhov, Y.
JOURNAL OF STATISTICAL PHYSICS, 2010, 138 (4-5) : 553 - 566
[9] On resonances in disordered multi-particle systems
Chulaevsky, Victor
COMPTES RENDUS MATHEMATIQUE, 2012, 350 (1-2) : 81 - 85
[10] Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate
Elgart, Alexander
Klein, Abel
ANNALES HENRI POINCARE, 2020, 21 (07): : 2301 - 2326

← 1 2 3 →