Local correlations of different eigenfunctions in a disordered wire

M. A. Skvortsov, P. M. Ostrovsky

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The correlation of the local density of states 〈ρ ε(r 1ε + ω(r 2)〉 in quasi-one-dimensional disordered wires in a magnetic field is calculated under the assumption that |r 1 - r 2| is much smaller than the localization length. This amounts to finding the zero mode of the transfer-matrix Hamiltonian for the supersymmetric σ model, which is done exactly by mapping to the three-dimensional Coulomb problem. Both the regimes of level repulsion and level attraction are obtained, depending on |r 1 - r 2|. We demonstrate that the correlations of different eigenfunctions in the quasi-one-dimensional and strictly one-dimensional cases are dissimilar.

Original languageEnglish
Pages (from-to)72-76
Number of pages5
JournalJETP Letters
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 2007
Externally publishedYes

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