Distribution of local density of states in disordered metallic samples: Logarithmically normal asymptotics

Alexander D. Mirlin
Phys. Rev. B 53, 1186 – Published 15 January 1996
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Abstract

Asymptotical behavior of the distribution function of local density of states (LDOS) in disordered metallic samples is studied by making use of the supersymmetric σ-model approach, in combination with the saddle-point method. The LDOS distribution is found to have the logarithmically normal asymptotics for quasi-one-dimensional (1D) and 2D sample geometries. In the case of a quasi-one-dimensional sample, the result is confirmed by the exact solution. In the 2D case perfect agreement with an earlier renormalization group calculation is found. In 3D the found asymptotic behavior is of a somewhat different type: P(ρ)∼exp(-const×‖ln3ρ‖). © 1996 The American Physical Society.

  • Received 20 July 1995

DOI:https://doi.org/10.1103/PhysRevB.53.1186

©1996 American Physical Society

Authors & Affiliations

Alexander D. Mirlin

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • Petersburg Nuclear Physics Institute, 188350 Gatchina, St. Petersburg, Russia

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Vol. 53, Iss. 3 — 15 January 1996

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