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Energy-Level and Wave-Function Statistics in the Anderson Model of Localization

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Parallel Algorithms and Cluster Computing

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 52))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Physics, Gothenburg University, 41296, Göteborg, Sweden

    Bernhard Mehlig

  2. Institut für Physik, Technische Universität Chemnitz, 09107, Chemnitz, Germany

    Michael Schreiber

Authors
  1. Bernhard Mehlig
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  2. Michael Schreiber
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Editor information

Editors and Affiliations

  1. Institute of Physics – Computational Physics, Chemnitz University of Technology, 09107, Chemnitz, Germany

    Karl Heinz Hoffmann

  2. Faculty of Mathematics – Numerical Analysis, Chemnitz University of Technology, 09107, Chemnitz, Germany

    Arnd Meyer

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Mehlig, B., Schreiber, M. (2006). Energy-Level and Wave-Function Statistics in the Anderson Model of Localization. In: Hoffmann, K.H., Meyer, A. (eds) Parallel Algorithms and Cluster Computing. Lecture Notes in Computational Science and Engineering, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33541-2_14

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