Localization and Delocalization in Dirty Superconducting Wires
P. W. Brouwer, A. Furusaki, I. A. Gruzberg, C. Mudry
DOI 10.1103/PhysRevLett.85.1064 · Physical Review Letters
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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/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.
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