Mesoscopic fluctuations of the local density of states in interacting electron systems |
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Authors: | I. S. Burmistrov I. V. Gornyi A. D. Mirlin |
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Affiliation: | 1.Landau Institute for Theoretical Physics,Russian Academy of Sciences,Moscow,Russia;2.Institut für Nanotechnologie,Karlsruhe Institute of Technology,Karlsruhe,Germany;3.Ioffe Institute,Russian Academy of Sciences,St. Petersburg,Russia;4.Institut für Theorie der kondensierten Materie,Karlsruhe Institute of Technology,Karlsruhe,Germany;5.Petersburg Nuclear Physics Institute,National Research Center Kurchatov Institute,St. Petersburg,Russia |
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Abstract: | We review our recent theoretical results for mesoscopic fluctuations of the local density of states in the presence of electron–electron interaction. We focus on the two specific cases: (i) a vicinity of interacting critical point corresponding to an Anderson–Mott transition, and (ii) a vicinity of non-interacting critical point in the presence of a weak electron–electron attraction. In both cases, strong mesoscopic fluctuations of the local density of states exist. |
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