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


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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.

About the authors

I. S. Burmistrov

Landau Institute for Theoretical Physics

Author for correspondence.
Email: burmi@itp.ac.ru
Russian Federation, Moscow, 119334

I. V. Gornyi

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

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

A. D. Mirlin

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

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

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