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| VOLUME 106 (2017) | ISSUE 4 | PAGE 252 |
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Mesoscopic fluctuations of the local density of states in interacting electron systems
I. S. Burmistrova, I. V. Gornyib,c,d, A. D. Mirlinb,d,e
aL.D. Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia bInstitut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany cA.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia dInstitut für Theorie der kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany ePetersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia
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 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. |