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Strong eigenfunction correlations near the Anderson-localization transition

Yan V. Fyodorov and Alexander D. Mirlin
Phys. Rev. B 55, R16001(R) – Published 15 June 1997
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Abstract

We study the overlap of two different eigenfunctions as compared with self-overlap in the framework of an infinite-dimensional version of the disordered tight-binding model. Despite a very sparse structure of the eigenstates in the vicinity of the Anderson transition, their mutual overlap is still found to be of the same order as self-overlap as long as the energy separation is smaller than a critical value. The latter fact explains the robustness of the Wigner-Dyson level statistics everywhere in the phase of extended states. The same picture is expected to hold for usual d-dimensional conductors, ensuring the sΒ form of the level repulsion at a critical point.

  • Received 26 December 1996

DOI:https://doi.org/10.1103/PhysRevB.55.R16001

©1997 American Physical Society

Authors & Affiliations

Yan V. Fyodorov

  • Fachbereich Physik, Universität-GH Essen, Essen 45117, Germany
  • and Petersburg Nuclear Physics Institute, Gatchina 188350, Russia

Alexander D. Mirlin

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

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Vol. 55, Iss. 24 — 15 June 1997

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