Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions

Abstract

We study the heat conductance of hybrid superconducting junctions. Our analysis involves single-channel junctions with arbitrary transmission as well as diffusive connectors and shows the influence of the superconducting gaps and phases of the contacts on the heat conductance. If the junction is diffusive, these effects are completely quenched on average, however, we find that their influence persists in weak-localization corrections and conductance fluctuations. While these statistical properties strongly deviate from the well-known analogues for the charge conductance, we demonstrate that the heat conductance fluctuations maintain a close to universal behavior. We find a generalized Wiedemann-Franz law for Josephson junctions with equal gaps and vanishing phase difference.

arXiv comment7 pages, 5 figures

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Cited by in corpus (8)

• Phase-coherent caloritronics with ordinary and topological Josephson junctions
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Phase-coherent heat circulators with normal- or superconducting contacts
• Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
• Weak localization corrections to the thermal conductivity in $s$-wave superconductors
• Mechanism of Universal Conductance Fluctuations
• Solution of master equations by fermionic-duality: Time-dependent charge and heat currents through an interacting quantum dot proximized by a superconductor
• Spectral analysis of universal conductance fluctuations