Local correlations of different eigenfunctions in a disordered wire
摘要
We calculate the correlator of the local density of states <\rho_{E}(r_1)\rho_{E+\omega}(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.
引用
@article{arxiv.cond-mat/0604631,
title = {Local correlations of different eigenfunctions in a disordered wire},
author = {M. A. Skvortsov and P. M. Ostrovsky},
journal= {arXiv preprint arXiv:cond-mat/0604631},
year = {2009}
}
备注
5 pages, 2 figures. v2: an error in treating the spatial dependence of correlations is corrected