T duality in supersymmetric theory of disordered quantum systems

A. Ossipov and V. E. Kravtsov
Phys. Rev. B 73, 033105 – Published 25 January 2006

Abstract

A supersymmetric representation for quantum-disordered systems is derived. This representation is exact and is dual to that of the nonlinear σ model. The formalism is tested by calculating the distribution of wave-function amplitudes in the one-dimensional Anderson model. The deviation from the distribution found for a thick wire is detected near the band center E=0.

  • Received 19 December 2005

DOI:https://doi.org/10.1103/PhysRevB.73.033105

©2006 American Physical Society

Authors & Affiliations

A. Ossipov1,* and V. E. Kravtsov1,2

  • 1The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy
  • 2Landau Institute for Theoretical Physics, 2 Kosygina Street, 117940 Moscow, Russia

  • *Electronic address: ossipov@lorentz.leidenuniv.nl

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Issue

Vol. 73, Iss. 3 — 15 January 2006

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