Odd-frequency Superconductivity Revealed by Thermopower

Abstract

Superconductivity is characterized by a nonvanishing superconducting pair amplitude. It has a definite symmetry in spin, momentum and frequency (time). While the spin and momentum symmetry have been probed experimentally for different classes of superconductivity, the odd-frequency nature of certain superconducting correlations has not been demonstrated yet in a direct way. Here we propose the thermopower as an unambiguous way to assess odd-frequency superconductivity. This is possible since the thermoelectric coefficient given by Andreev-like processes is only finite in the presence of odd-frequency superconductivity. We illustrate our general findings with a simple example of a superconductor-quantum dot-ferromagnet hybrid.

5 pages, 2 figures + supplemental material, published version

References in corpus (13)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Theory of the proximity effect in junctions with unconventional superconductors
• Thermopower of a Kondo-correlated quantum dot
• Odd-frequency pairing in normal metal/superconductor junctions
• Nonlocal Thermoelectric Effects and Nonlocal Onsager Relations in a Three-Terminal Proximity-Coupled Superconductor-Ferromagnet Device
• Signature of magnetic-dependent gapless odd frequency states at superconductor/ferromagnet interfaces
• Unconventional Superconductivity in Double Quantum Dots
• Very large thermophase in ferromagnetic Josephson junctions
• Cross thermoelectric coupling in normal-superconductor quantum dots
• A hybrid superconducting quantum dot acting as an efficient charge and spin Seebeck diode
• Odd-triplet superconductivity in single-level quantum dots
• Quantum transport in a normal metal/odd-frequency superconductor junction

Cited by in corpus (23)

• Odd-frequency superconducting pairing in one-dimensional systems
• Superconducting phenomena in systems with unconventional magnets
• Phase-dependent heat and charge transport through superconductor-quantum dot hybrids
• Odd-frequency superconducting pairing in Kitaev-based junctions
• On-demand thermoelectric generation of equal-spin Cooper pairs
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
• Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions
• Quantum thermodynamics of nanoscale thermoelectrics and electronic devices
• Thermoelectricity carried by proximity-induced odd-frequency pairing in ferromagnet/superconductor junctions
• Odd-frequency pair density wave correlations in underdoped cuprates
• Thermoelectric detection of Andreev states in unconventional superconductors
• Superconductor-quantum dot hybrid coolers
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Odd-frequency superconductivity in dilute magnetic superconductors
• Thermopower and thermophase in a $d$-wave superconductor
• Thermoelectric processes of quantum normal-superconductor interfaces
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Identification of odd-frequency superconducting pairing in Josephson junctions