DISORDER-INDUCED DELOCALIZATION ON TREE GRAPHS

被引：0

作者：

Aizenman, Michael ^{[1
,2
]}

Warzel, Simone ^{[3
]}

机构：

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

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

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

来源：

MATHEMATICAL RESULTS IN QUANTUM PHYSICS | 2011年

关键词：

Random operators; absolutely continuous spectrum; Lifshits tail regime; ABSOLUTELY CONTINUOUS-SPECTRUM; ANDERSON MODEL; LOCALIZATION; SYSTEM; STATES;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Highlighting a mechanism for the emergence of absolutely continuous spectrum through fluctuation-enabled resonance, we resolve an existing question concerning the mobility edge for Schrodinger operators with random (unbounded) potential on regular tree graphs. We find that the disorder driven resonance mechanism causes the somewhat surprising appearance of absolutely continuous spectrum well beyond the energy band of the operator's hopping term. For weak disorder this includes a Lifshits tail regime of very low density of states.

引用

页码：107 / 109

页数：3

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