Mesoscopic fluctuations of the local density of states in interacting electron systems


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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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I. Burmistrov

Landau Institute for Theoretical Physics

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Email: burmi@itp.ac.ru
俄罗斯联邦, Moscow, 119334

I. Gornyi

Institut für Nanotechnologie; Ioffe Institute; Institut für Theorie der kondensierten Materie

Email: burmi@itp.ac.ru
德国, Karlsruhe, 76021; St. Petersburg, 194021; Karlsruhe, 76128

A. Mirlin

Institut für Nanotechnologie; Institut für Theorie der kondensierten Materie; Petersburg Nuclear Physics Institute

Email: burmi@itp.ac.ru
德国, Karlsruhe, 76021; Karlsruhe, 76128; St. Petersburg, 188300

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