Local correlations of different eigenfunctions in a disordered wire
arXiv:cond-mat/0604631 · doi:10.1134/S0021364007010158
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.
5 pages, 2 figures. v2: an error in treating the spatial dependence of correlations is corrected
References in corpus (3)
Cited by in corpus (11)
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