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Crossover Between Universality Classes in the Statistics of Rare Events in Disordered Conductors

V. M. Apalkov, M. E. Raikh, and B. Shapiro
Phys. Rev. Lett. 89, 126601 – Published 28 August 2002

Abstract

The crossover from orthogonal to the unitary universality classes in the distribution of the anomalously localized states (ALS) in two-dimensional disordered conductors is traced as a function of magnetic field. We demonstrate that the microscopic origin of the crossover is the change in the symmetry of the underlying disorder configurations that are responsible for ALS. These disorder configurations are of weak magnitude (compared to the Fermi energy) and of small size (compared to the mean free path). We find their shape explicitly by means of the direct optimal fluctuation method.

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  • Received 13 December 2001

DOI:https://doi.org/10.1103/PhysRevLett.89.126601

©2002 American Physical Society

Authors & Affiliations

V. M. Apalkov1, M. E. Raikh1, and B. Shapiro2

  • 1Department of Physics, University of Utah, Salt Lake City, Utah 84112
  • 2Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel

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Issue

Vol. 89, Iss. 12 — 16 September 2002

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