Home
For authors
Submission status

Current
Archive (English)
Archive
   Volumes 61-80
   Volumes 41-60
   Volumes 21-40
   Volumes 1-20
   Volumes 81-92
      Volume 92
      Volume 91
      Volume 90
      Volume 89
      Volume 88
      Volume 87
      Volume 86
      Volume 85
      Volume 84
      Volume 83
      Volume 82
      Volume 81
Search
VOLUME 85 (2007) | ISSUE 1 | PAGE 79
Local correlations of different eigenfunctions in a disordered wire
PACS: 73.20.Fz, 73.21.Hb
Abstract
We calculate the correlator of the local density of states \langle \rho_{\varepsilon}(\mathbf{r}_1) \rho_{\varepsilon + \omega}(\mathbf{r}_2) \rangle in quasi-one-dimensional disordered wires in a magnetic field, assuming that |\mathbf{r}_1 - \mathbf{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 |\mathbf{r}_1 - \mathbf{r}_2|. We demonstrate that the correlations of different eigenfunctions in the quasi-one-dimensional and strictly one-dimensional cases are dissimilar.