title: Localization and delocalization in dirty superconducting wires
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/sqrt[L] instead of exponentially fast for large enough length L 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.
authors.affiliation: Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853-2501, USA.
authors.initials: PW
authors.lastname: Brouwer
authors.initials: A
authors.lastname: Furusaki
authors.initials: IA
authors.lastname: Gruzberg
authors.initials: C
authors.lastname: Mudry