Photonic heat conduction in Josephson-coupled Bardeen-Cooper-Schrieffer superconductors

Abstract

We investigate the photon-mediated heat flow between two Josephson-coupled Bardeen-Cooper-Schrieffer (BCS) superconductors. We demonstrate that in standard low temperature experiments involving temperature-biased superconducting quantum interference devices (SQUIDs), this radiative contribution is negligible if compared to the direct galvanic one, but it largely exceeds the heat exchanged between electrons and the lattice phonons. The corresponding thermal conductance is found to be several orders of magnitude smaller, for real experiments setup parameters, than the universal quantum of thermal conductance, kappa_0(T)=pi k_B^2T/6hbar.

8 pages, 6 figures

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• The Josephson heat interferometer
• Rectification of electronic heat current by a hybrid thermal diode
• Micrometre-scale refrigerators
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• Mesoscopic photon heat transistor
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• Coherent diffraction of thermal currents in long Josephson tunnel junctions
• Solitonic Josephson thermal transport
• Phase-tunable Josephson thermal router
• Topological Josephson Heat Engine
• Development of highly sensitive nanoscale transition edge sensors for gigahertz astronomy and dark matter search
• Hysteretic superconducting heat-flux quantum modulator
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• Thermal flux-flow regime in long Josephson tunnel junctions
• Coherent Manipulation of Thermal Transport by Tunable Electron-Photon and Electron-Phonon Interaction
• Negative differential thermal conductance by photonic transport in electronic circuits
• Temperature-biased double-loop Josephson flux transducer