Correlations of eigenfunctions in disordered systems

Ya. M. Blanter and A. D. Mirlin
Phys. Rev. E 55, 6514 – Published 1 June 1997
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Abstract

Correlations of eigenfunctions, 〈|ψk(r1)|2|ψl(r2)|2〉, in a disordered system are investigated. We derive general formulas expressing these correlation functions in terms of the supermatrix σ model. In the particular case of the weak localization regime we find that the correlations of the same eigenfunction are proportional to g1 for large distances, while the correlations of two different eigenfunctions cross over from g1 behavior for r1=r2 to g2 behavior for |r1-r2|≫:l, with g and l being the dimensionless conductance and the mean free path, respectively.

  • Received 22 April 1996

DOI:https://doi.org/10.1103/PhysRevE.55.6514

©1997 American Physical Society

Authors & Affiliations

Ya. M. Blanter1,2 and A. D. Mirlin1,3

  • 1Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany
  • 2Department of Theoretical Physics, Moscow Institute for Steel and Alloys, Leninskii Prospekt 4, 117936 Moscow, Russia
  • 3Petersburg Nuclear Physics Institute, 188350 Gatchina, St. Petersburg, Russia

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Vol. 55, Iss. 6 — June 1997

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