Random Matrices and Supersymmetry in Disordered Systems

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dc.creatorEfetov, K. B.
dc.date2005-02-14
dc.date.accessioned2026-07-07T06:33:11Z
dc.date.available2026-07-07T06:33:11Z
dc.descriptionIt is described how one comes to the Wigner-Dyson random matrix theory (RMT) starting from a model of a disordered metal. The lectures start with a historical introduction where basic ideas of the RMT and theory of disordered metals are reviewed. This part is followed by an introduction into supermathematics (mathematics operating with both commuting and anticommuting variables). The main ideas of the supersymmetry method are given and basic formulae are derived. As an example, level-level correlations and fluctuations of amplitudes of wave functions are discussed. It is shown how one can both obtain known formulae of the RMT and go beyond. In the last part some recent progress in the further development of the method and possible perspectives are discussed.
dc.descriptionLectures given at the Les Houches Summer School "Applications of Random Matrices in Physics", June 2004, 45p
dc.identifierhttps://arxiv.org/abs/cond-mat/0502322
dc.identifierhttp://arxiv.org/abs/cond-mat/0502322
dc.identifierApplications of Random Matrices in Physics, edited by E. Brezin, V. Kazakov, P. Wiegmann, and A. Zabrodin, Springer, p. 95 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99108
dc.subjectMesoscale and Nanoscale Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleRandom Matrices and Supersymmetry in Disordered Systems
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