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Nonanalytic scaling of conductance cumulants in dirty superconducting wires

A. M. S. Macêdo

DOI 10.1103/PhysRevB.65.132510 · Physical Review B

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Abstract

We study coherent heat transport in weakly disordered unconventional superconducting wires. The first three moments of the heat conductance are calculated exactly for all length scales in the presence of time-reversal symmetry. In the diffusive regime, the leading contribution to the third cumulant of the conductance displays unusual nonanalytic length dependence, implying the inapplicability of perturbative methods. In the long-length limit our results for the conductance moments are consistent with recent predictions of the absence of localization in systems with broken spin-rotation invariance.

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