Phase-dependent charge and heat current in thermally biased short Josephson junctions formed at helical edge states
arXiv:2210.00936 · doi:10.1088/1367-2630/acec92
Abstract
We explore the phase-dependent charge and heat current in the short Josephson junctions with two normal metal regions attached at opposite ends, formed at helical edge states of two-dimensional topological insulators (TIs). For all finite phases, an asymmetry appears around the zero energy in the transmission spectra except for , where is a half-integer and () is the flux quantum. The phase-induced asymmetry plays a key role in inducing charge and heat current through the thermally biased junction. However, the current amplitudes are sensitive to the size of the junction. We show that in the short Josephson junction when subject to a temperature gradient, the charge current shows an odd-symmetry in phase. It indicates that the phase-tunable asymmetry around the zero-energy is not sufficient to induce a dissipative thermoelectric current in the junction. This is in contrast to the behavior of long Josephson junction as shown in the literature. The phase-tunable heat currents are obtained with amplitudes set by the phase difference, base temperature, and system size.
arXiv comment12 pages, 6+3 figures; Revised version
References in corpus (40)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
- -periodic Josephson supercurrent in HgTe-based topological Josephson junctions
- Induced Superconductivity in the Quantum Spin Hall Edge
- Huge thermoelectric effects in ferromagnet-superconductor junctions in the presence of a spin-splitting field
- Observation of thermoelectric currents in high-field superconductor-ferromagnet tunnel junctions
- Proximity-induced unconventional superconductivity in topological insulators
- Spin-helical transport in normal and superconducting topological insulators
- Odd-frequency superconducting pairing in topological insulators
- Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
- Giant thermoelectric effects in a proximity-coupled superconductor-ferromagnet device
- Proposal for an all-electrical measurement of crossed Andreev reflection in topological insulators
- Nonlocal Thermoelectricity in a S-TI-S Junction in Contact with a N-Metal Probe: Evidence for Helical Edge States
- Theory of a large thermoeffect in superconductors doped with magnetic impurities
- Spin caloritronics with superconductors: Enhanced thermoelectric effects, generalized Onsager response-matrix, and thermal spin currents
- Electrical and Thermal Transport in Antiferromagnet-Superconductor Junctions
- Thermopower and thermal conductance of a superconducting quantum point contact
- Thermoelectric properties of a ferromagnet-superconductor hybrid junction: Role of interfacial Rashba spin-orbit interaction
- Phase-tunable thermoelectricity in a Josephson junction
- Self-consistent scattering description of transport in normal-superconductor structures
- Enhancement of crossed Andreev reflection in normal-superconductor-normal junction of thin topological insulator
- Nonlocal thermoelectricity in a topological Andreev interferometer
- Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
- Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
- Large Thermoelectric Effects in Unconventional Superconductors
- Nonlocal thermoelectric engines in hybrid topological Josephson junctions
- Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions
- Nonlocal thermoelectric effects in high-field superconductor-ferromagnet hybrid structures
- Thermoelectricity carried by proximity-induced odd-frequency pairing in ferromagnet/superconductor junctions
- Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
- Thermoelectric detection of Andreev states in unconventional superconductors
- Phase-sensitive thermoelectricity and long-range Josephson effect supported by thermal gradient
- Transport and noise properties of a normal metal-superconductor-normal metal junction with mixed singlet and chiral triplet pairings
- Thermopower and thermophase in a -wave superconductor
- Transport in normal-superconductor-normal structures with local conservation of current