Thermopower and thermal conductance of a superconducting quantum point contact

Abstract

We find the charge and heat currents caused by a temperature difference applied to a superconducting point contact or to a quantum point contact between a superconducting and normal conductors. The results are formulated in terms of the properties of the electron scattering matrix of the quantum point contact in its normal state, and are valid at any transmission coefficient. In the low-transmission limit, the new theory provides reliable results, setting the limits for the use of the popular method of tunnel Hamiltonian.

arXiv comment12+8 pages, 8 figures; v.3; updated text and references; corresponds to the published version

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• Nonlinear thermoelectricity with electron-hole symmetric systems
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• Perspective on new implementations of atomtronic circuits
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• Interaction-Assisted Reversal of Thermopower with Ultracold Atoms
• Phase-control of bipolar thermoelectricity in Josephson tunnel junctions
• Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions
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• Thermal signature of Majorana fermions in Josephson junction
• Bipolar Thermoelectricity in Bilayer-Graphene--Superconductor Tunnel Junctions
• Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
• Thermoelectric processes of quantum normal-superconductor interfaces
• Landauer Formula for a Superconducting Quantum Point Contact
• Saturation of thermal and spin conductances in a dissipative superfluid junction
• Phase-dependent charge and heat current in thermally biased short Josephson junctions formed at helical edge states
• Thermoelectric response of Josephson junction: from ballistic to disordered