English

Localization and delocalization in dirty superconducting wires

Mesoscale and Nanoscale Physics 2009-01-23 v1 Superconductivity

Abstract

We present Fokker-Planck equations that describe transport of heat and spin in dirty unconventional superconducting quantum wires. Four symmetry classes are distinguished, depending on the presence or absence of time-reversal and spin rotation invariance. In the absence of spin-rotation symmetry, heat transport is anomalous in that the mean conductance decays like 1/L1/\sqrt{L} instead of exponentially fast for large enough length LL of the wire. The Fokker-Planck equations in the presence of time-reversal symmetry are solved exactly and the mean conductance for quasiparticle transport is calculated for the crossover from the diffusive to the localized regime.

Keywords

Cite

@article{arxiv.cond-mat/0002016,
  title  = {Localization and delocalization in dirty superconducting wires},
  author = {P. W. Brouwer and A. Furusaki and I. A. Gruzberg and C. Mudry},
  journal= {arXiv preprint arXiv:cond-mat/0002016},
  year   = {2009}
}

Comments

4 pages, RevTeX

R2 v1 2026-07-22T09:59:56.873Z