Journal
PHYSICAL REVIEW LETTERS
Volume 85, Issue 5, Pages 1064-1067Publisher
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.85.1064
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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/root 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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