Nonlocal Thermoelectricity in a S-TI-S Junction in Contact with a N-Metal Probe: Evidence for Helical Edge States

Abstract

We consider a Josephson junction hosting a Kramers pair of helical edge states of a quantum spin Hall bar in contact with a normal-metal probe. In this hybrid system, the orbital phase induced by a small magnetic field threading the junction known as Doppler shift (DS), combines with the conventional Josephson phase difference and originates an effect akin to a Zeeman field in the spectrum. As a consequence, when a temperature bias is applied to the superconducting terminals, a thermoelectric current is established in the normal probe. We argue that this purely non-local thermoelectric effect is a unique signature of the helical nature of the edge states coupled to superconducting leads and it can constitute a useful tool for probing the helical nature of the edge states in systems where the Hall bar configuration is difficult to achieve. We fully characterize thermoelectric response and performance of this hybrid junction in a wide range of parameters, demonstrating that the external magnetic flux inducing the DS can be used as a knob to control the thermoelectric response and the heat flow in a novel device based on topological junctions.

References in corpus (56)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulator Materials
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Bismuthene on a SiC Substrate: A Candidate for a New High-Temperature Quantum Spin Hall Paradigm
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Nonlocal edge state transport in the quantum spin Hall state
• Realization of Quantum Spin Hall State in Monolayer 1T'-WTe2
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Induced Superconductivity in the Quantum Spin Hall Edge
• Spin polarization of the quantum spin Hall edge states
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Colloquium: Nonequilibrium effects in superconductors with a spin-splitting field
• Phase coherent transport in hybrid superconducting nanostructures
• Huge thermoelectric effects in ferromagnet-superconductor junctions in the presence of a spin-splitting field
• Imaging Quantum Spin Hall Edges in Monolayer WTe2
• Direct Visualization of 2D Topological Insulator in Single-layer 1T'-WTe2
• Topological Josephson ${\varphi }_0$-junctions
• Phonon induced backscattering in helical edge states
• Spin-Polarized Tunneling Study on Spin-Momentum Locking in the Topological Insulators
• Chiral thermoelectrics with quantum Hall edge states
• Thermoelectric efficiency of three-terminal quantum thermal machines
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Ferromagnetic insulator-based superconducting junctions as sensitive electron thermometers
• A new paradigm for the quantum spin Hall effect at high temperatures
• Nonlinear thermoelectricity with electron-hole symmetric systems
• Revealing topological superconductivity in extended quantum spin Hall Josephson junctions
• Nonlocal thermoelectricity in a Cooper-pair splitter
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Electrically Controlled Pumping of Spin Currents in Topological Insulators
• Cooling by Cooper pair splitting
• Observation of perfect Andreev reflection due to Klein paradox in a topological superconducting state
• High efficiency thermal switch based on topological Josephson junctions
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Spin polarised scanning tunneling probe for helical Luttinger liquids
• Spin-thermoelectric transport induced by interactions and spin-flip processes in two dimensional topological insulators
• Phase-dependent heat and charge transport through superconductor-quantum dot hybrids
• Heat switch and thermoelectric effects based on Cooper-pair splitting and elastic cotunneling
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Phase-tunable thermal rectification in the topological SQUIPT
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• On-demand thermoelectric generation of equal-spin Cooper pairs
• Helical thermoelectrics and refrigeration
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Fundamental limits to helical edge conductivity due to spin-phonon scattering
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Parity dependent Josephson current through a helical Luttinger liquid
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators

Cited by in corpus (39)

• Quantum Engines and Refrigerators
• Bipolar Thermoelectric Josephson Engine
• Nonlocal quantum heat engines made of hybrid superconducting devices
• A superconducting nonlinear thermoelectric heat engine
• Phase-tunable thermoelectricity in a Josephson junction
• Nonlocal thermoelectricity in a topological Andreev interferometer
• Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
• Hybrid quantum thermal machines with dynamical couplings
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Phase-control of bipolar thermoelectricity in Josephson tunnel junctions
• Hybrid normal-superconducting Aharonov-Bohm quantum thermal device
• Thermoelectric Effect in Altermagnet-Superconductor Junctions
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Noise effects in the nonlinear thermoelectricity of a Josephson junction
• Thermodynamics in topological Josephson junctions
• Thermopower and thermophase in a $d$-wave superconductor
• Detailed study of nonlinear cooling with two-terminal configurations of topological edge states
• Thermoelectric processes of quantum normal-superconductor interfaces
• Thermoelectric signatures of order-parameter symmetries in iron-based superconducting tunnel junctions
• Nonlocal thermoelectricity in quantum wires as a signature of Bogoliubov-Fermi points
• Coherent control of thermoelectric currents and noise in quantum thermocouples
• Nonlocal thermoelectric detection of interaction and correlations in edge states
• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Topological Josephson Junctions in the Integer Quantum Hall Regime
• High-performance Andreev interferometer-based electronic coolers
• Spin-resolved spectroscopy of helical Andreev bound states
• Thermoelectric cooling properties of a quantum Hall Corbino device
• Bipolar thermoelectrical SQUIPT (BTSQUIPT)
• Phase-dependent charge and heat current in thermally biased short Josephson junctions formed at helical edge states
• Bipolar thermoelectricity in S/I/NS and S/I/SN superconducting tunnel junctions
• Enhanced thermoelectric effects in a driven one-dimensional system
• Enhanced Thermoelectricity in Nanowires with inhomogeneous Helical states
• Dissipative Hot-spot Enabled Shock and Bounce Dynamics via Terahertz Quantum Quenches in Helical Edge States
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions
• Thermoelectric response of Josephson junction: from ballistic to disordered
• Extrinsic thermoelectric response of coherent conductors
• Spontaneous symmetry breaking-induced thermospin effect in superconducting tunnel junctions