Multi-Scale Jacobi Method for Anderson Localization

被引：0
|
作者：
John Z. Imbrie
机构：
[1] University of Virginia,Department of Mathematics
来源：
Communications in Mathematical Physics | 2016年 / 341卷
关键词：
Large Block; Small Block; Anderson Localization; Graphical Expansion; Markov Inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new KAM-style proof of Anderson localization is obtained. A sequence of local rotations is defined, such that off-diagonal matrix elements of the Hamiltonian are driven rapidly to zero. This leads to the first proof via multi-scale analysis of exponential decay of the eigenfunction correlator (this implies strong dynamical localization). The method has been used in recent work on many-body localization (Imbrie in On many-body localization for quantum spin chains, arXiv:1403.7837, 2014).
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页码：491 / 521
页数：30
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