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- Title
Local correlations of different eigenfunctions in a disordered wire.
- Authors
Skvortsov, M. A.; Ostrovsky, P. M.
- 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.
- Subjects
MULTICOLLINEARITY; EIGENFUNCTION expansions; WIRE; MAGNETIC fields; QUASICONFORMAL mappings; NUMERICAL solutions to differential equations
- Publication
JETP Letters, 2007, Vol 85, Issue 1, p72
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364007010158