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28 March 2024
 
  » arxiv » nlin.CD/0505051

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Statistical description of eigenfunctions in chaotic and weakly disordered systems beyond universality
Juan Diego Urbina ; Klaus Richter ;
Date 21 May 2005
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall quant-ph
AbstractWe 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 wavefunction 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.
Source arXiv, nlin.CD/0505051
Other source [GID 938426] pmid17155745
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