2006 | OriginalPaper | Buchkapitel
Energy-Level and Wave-Function Statistics in the Anderson Model of Localization
verfasst von : Bernhard Mehlig, Michael Schreiber
Erschienen in: Parallel Algorithms and Cluster Computing
Verlag: Springer Berlin Heidelberg
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Universal aspects of correlations in the spectra and wave functions of closed, complex quantum systems can be described by random-matrix theory (RMT) [1]. On small energy scales, for example, the eigenvalues, eigenfunctions and matrix elements of disordered quantum systems in the metallic regime [2] or those of classically chaotic quantum systems [3] exhibit universal statistical properties very well described by RMT. It is now also well established that deviations from RMT behaviour are often significant at larger energy scales.