Thermal conductance of Andreev interferometers

Abstract

We calculate the thermal conductance $G^T$ of diffusive Andreev interferometers, which are hybrid loops with one superconducting arm and one normal-metal arm. The presence of the superconductor suppresses $G^T$; however, unlike a conventional superconductor, $G^T/G_N^T$ does not vanish as the temperature $T\to 0$, but saturates at a finite value that depends on the resistance of the normal-superconducting interfaces, and their distance from the path of the temperature gradient. The reduction of $G^T$ is determined primarily by the suppression of the density of states in the proximity-coupled normal metal along the path of the temperature gradient. $G^T$ is also a strongly nonlinear function of the thermal current, as found in recent experiments.

arXiv comment5 pages, 4 figures

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• Andreev Bound States and Their Signatures
• Giant thermoelectric effects in a proximity-coupled superconductor-ferromagnet device
• Separation of heat and charge currents for boosted thermoelectric conversion
• Thermoelectric effects in superconducting proximity structures
• Coherent Thermoelectric Effects in Mesoscopic Andreev Interferometers
• Quantitative measurements of the thermal resistance of Andreev interferometers
• Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling
• Thermal conductance of a proximity superconductor
• Thermopower oscillations in mesoscopic Andreev interferometers
• Long-range thermoelectric effects in mesoscopic superconductor-normal metal structures
• Peltier effects in Andreev interferometers
• Thermoelectric effect in superconducting nanostructures
• Probing the topological band structure of diffusive multiterminal Josephson junction devices with conductance measurements
• Charge imbalance and Josephson effects in superconductor-normal metal mesoscopic structures
• Influence of Supercurrents on Low-Temperature Thermopower in Mesoscopic N/S Structures