Statistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality

Urbina, Juan Diego and Richter, Klaus (2006) Statistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality. PHYSICAL REVIEW LETTERS, 97 (21): 214101. ISSN 0031-9007,

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Abstract

We present a semiclassical approach to eigenfunction statistics in chaotic and weakly disordered quantum systems which goes beyond random matrix theory, supersymmetry techniques, and existing semiclassical methods. The approach is based on a generalization of Berry's random wave model, combined with a consistent semiclassical representation of spatial two-point correlations. We derive closed expressions for arbitrary wave-function averages in terms of universal coefficients and sums over classical paths, which contain, besides the supersymmetry results, novel oscillatory contributions. Their physical relevance is demonstrated in the context of Coulomb blockade physics.

Item Type: Article
Uncontrolled Keywords: QUANTUM DOTS; SPATIAL CORRELATIONS; FLUCTUATIONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 18 Jan 2021 14:14
Last Modified: 18 Jan 2021 14:14
URI: https://pred.uni-regensburg.de/id/eprint/33751

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