Local correlations of different eigenfunctions in a disordered wire

M. A. Skvortsov; P. M. Ostrovsky

doi:10.1134/s0021364007010158

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arXiv · cond-mat/0604631

Local correlations of different eigenfunctions in a disordered wire

M. A. Skvortsov·P. M. Ostrovsky

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Abstract

We calculate the correlator of the local density of states <ρ_{E}(r_1)ρ_{E+ω}(r_2)> in quasi-one-dimensional disordered wires in a magnetic field, assuming 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 sigma-model, which is done exactly by the 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.

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M. A. Skvortsov, P. M. Ostrovsky. 2006-07-03. Local correlations of different eigenfunctions in a disordered wire. https://doi.org/10.1134/s0021364007010158

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