Local correlations of different eigenfunctions in a disordered wire |
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Authors: | M A Skvortsov P M Ostrovsky |
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Institution: | (1) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia;(2) Institut für Nanotechnologie, Forschungszentrum Karlsruhe, Karlsruhe, 76021, Germany |
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Abstract: | The correlation of the local density of states 〈ρɛ(r
1)ρɛ + 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.
The text was submitted by the authors in English. |
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Keywords: | |
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