Correlations of the local density of states in quasi-one-dimensional wires

Abstract

We report a calculation of the correlation function of the local density of states in a disordered quasi-one-dimensional wire in the unitary symmetry class at a small energy difference. Using an expression from the supersymmetric sigma-model, we obtain the full dependence of the two-point correlation function on the distance between the points. In the limit of zero energy difference, our calculation reproduces the statistics of a single localized wave function. At logarithmically large distances of the order of the Mott scale, we obtain a reentrant behavior similar to that in strictly one-dimensional chains.

arXiv commentPublished version. Minor technical and notational improvements. 16 pages, 1 figure

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Cited by in corpus (5)

• Hybridization of wave functions in one-dimensional localization
• Dielectric response of Anderson and pseudogapped insulators
• Superconducting proximity effect in quantum wires without time-reversal symmetry
• Spectral correlations in finite-size Anderson insulators
• Anderson localization of a Majorana fermion