Multifractality and electron-electron interaction at Anderson transitions

I. S. Burmistrov, I. V. Gornyi, and A. D. Mirlin
Phys. Rev. B 91, 085427 – Published 27 February 2015

Abstract

Mesoscopic fluctuations and correlations of the local density of states are studied near metal-insulator transitions in disordered interacting electronic systems. We show that the multifractal behavior of the local density of states survives in the presence of Coulomb interaction. We calculate the spectrum of multifractal exponents in 2+ε spatial dimensions for symmetry classes characterized by broken (partially or fully) spin-rotation invariance and show that it differs from that in the absence of interaction. We also estimate the multifractal exponents at the Anderson metal-insulator transition in 2D systems with preserved spin-rotation invariance. Our results for multifractal correlations of the local density of states are in qualitative agreement with recent experimental findings.

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  • Received 10 December 2014

DOI:https://doi.org/10.1103/PhysRevB.91.085427

©2015 American Physical Society

Authors & Affiliations

I. S. Burmistrov1,2, I. V. Gornyi3,4, and A. D. Mirlin3,5,6,7

  • 1L. D. Landau Institute for Theoretical Physics, Kosygina Street 2, 117940 Moscow, Russia
  • 2Moscow Institute of Physics and Technology, 141700 Moscow, Russia
  • 3Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
  • 4A. F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia
  • 5DFG Center for Functional Nanostructures, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • 6Institut für Theorie der kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • 7Petersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia

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Issue

Vol. 91, Iss. 8 — 15 February 2015

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