Phase-coherent caloritronics with ordinary and topological Josephson junctions

Abstract

We provide a brief and comprehensive overview over recent developments in the field of phase-coherent caloritronics in ordinary and topological Josephson junctions. We start from the simple case of a short, one-dimensional superconductor-normal metal-superconductor (S-N-S) Josephson junction and derive the phase-dependent thermal conductance within the Bogoliubov-de Gennes formalism. Then, we review the key experimental breakthroughs that have triggered the recent growing interest into phase-coherent heat transport. They include the realization of thermal interferometers, diffractors, modulators and routers based on superconducting tunnel junctions. Finally, we discuss very recent theoretical findings based on superconductor-topological insulator-superconductor (S-TI-S) Josephson junctions that show interesting heat transport properties due to the interplay between topological band structures and superconductivity.

arXiv commentA topical review invited from EPJ ST Special Issues; 23 pages, 8 figures, 120 references

References in corpus (92)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Phononics: Manipulating heat flow with electronic analogs and beyond
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Negative differential thermal resistance and thermal transistor
• Quantum heat engines and refrigerators: Continuous devices
• Evidence of topological superconductivity in planar Josephson junctions
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Induced Superconductivity in the Quantum Spin Hall Edge
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Thermoelectric energy harvesting with quantum dots
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Quantum limit of heat flow across a single electronic channel
• Single-mode heat conduction by photons
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Tunable photonic heat transport in a quantum heat valve
• Supercurrent in the quantum Hall regime
• The Josephson heat interferometer
• Rectification of electronic heat current by a hybrid thermal diode
• Multi-terminal Josephson junctions as topological materials
• Inducing Superconducting Correlation in Quantum Hall Edge States
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Towards phase-coherent caloritronics in superconducting circuits
• Autonomous Quantum Refrigerator in a Circuit-QED Architecture Based on a Josephson Junction
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• SQUIPT - Superconducting Quantum Interference Proximity Transistor
• The $\omega$-SQUIPT: phase-engineering of Josephson topological materials
• $4\pi$ periodic Andreev bound states in a Dirac semimetal
• Topological transconductance quantization in a four-terminal Josephson junction
• Topological Andreev bands in three-terminal Josephson junctions
• Thermal Conductance of a Single-Electron Transistor
• Non-trivial Chern numbers in three-terminal Josephson junctions
• Nanoscale phase-engineering of thermal transport with a Josephson heat modulator
• Ballistic quantum spin Hall state and enhanced edge backscattering in strong magnetic fields
• Realization of quantum diffraction of a thermal flux
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Efficient phase-tunable Josephson thermal rectifier
• Nonlinear phenomena in quantum thermoelectrics and heat
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Proposal for a phase-coherent thermoelectric transistor
• Phase Modulated Thermal Conductance of Josephson Weak Links
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Optimal probabilistic work extraction beyond the free energy difference with a single-electron device
• Interference induced thermoelectric switching and heat rectification in quantum Hall junctions
• Negative differential thermal conductance and heat amplification in superconducting hybrid devices
• Phase-Tunable Thermal Logic: Computation with Heat
• Heat Transport Through Josephson Point Contacts
• Thermal rectification of electrons in hybrid normal metal-superconductor nanojunctions
• Josephson thermal memory
• High efficiency thermal switch based on topological Josephson junctions
• A normal metal tunnel-junction heat diode
• Thermodynamics in Single-Electron Circuits and Superconducting Qubits
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Heat transport through a Josephson junction
• 0-$\pi$ phase-controllable $thermal$ Josephson junction
• Coherent transport properties of a three-terminal hybrid superconducting interferometer
• Spin-thermoelectric transport induced by interactions and spin-flip processes in two dimensional topological insulators
• A Microwave Josephson Refrigerator
• Quantum Hall Effect in a Josephson Junction
• Fast thermometry with a proximity Josephson junction
• Phase-dependent heat and charge transport through superconductor-quantum dot hybrids
• Nonlinear spin-thermoelectric transport in two-dimensional topological insulators
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Coherent diffraction of thermal currents in Josephson tunnel junctions
• Thermopower and thermal conductance of a superconducting quantum point contact
• Magnetic field influence on the proximity effect in semiconductor - superconductor hybrid structures and their thermal conductance
• Phase-coherent solitonic Josephson heat oscillator
• Fully-Balanced Heat Interferometer
• Coherent Josephson thermodynamic cycles
• Phase-coherent heat circulator based on multi-terminal Josephson junctions
• Solitonic Josephson thermal transport
• Disorder and magnetic-field induced breakdown of helical edge conduction in an inverted electron-hole bilayer
• Phase-tunable thermal rectification in the topological SQUIPT
• Polarized heat current generated by quantum pumping in two-dimensional topological insulators
• Phase-tunable Josephson thermal router
• Thermoelectric performance of topological boundary modes
• Enhanced thermoelectric response in the fractional quantum Hall effect
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Phase-tunable colossal magneto-heat resistance in ferromagnetic Josephson thermal valves
• Phase-Tunable Temperature Amplifier
• A Topological SQUIPT based on helical edge states in proximity to superconductors
• Phase-dependent heat transport through magnetic Josephson tunnel junctions
• Mesoscopic effects in the heat conductance of superconducting-normal-superconducting and normal-superconducting junctions
• Measurement and dephasing of a flux qubit due to heat currents
• Solitonic thermal transport in a current biased long Josephson junction
• Phase-dependent heat transport in Josephson junctions with p-wave superconductors and superfluids
• Fluctuation of heat current in Josephson junctions
• Thermal transport through ac-driven transparent Josephson weak links

Cited by in corpus (18)

• Superconducting phenomena in systems with unconventional magnets
• A superconducting nonlinear thermoelectric heat engine
• Phase-tunable thermoelectricity in a Josephson junction
• Thermal superconducting quantum interference proximity transistor
• rf-SQUID measurements of anomalous Josephson effect
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Phase-coherent heat circulators with normal- or superconducting contacts
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Superconductor-quantum dot hybrid coolers
• Thermoelectric processes of quantum normal-superconductor interfaces
• Heat-transfer fingerprint of Josephson breathers
• Thermoelectric signatures of order-parameter symmetries in iron-based superconducting tunnel junctions
• Extremely weak sub-kelvin electron-phonon coupling in InAs On Insulator
• Phase-dependent transport in thermally-driven superconducting single-electron transistors
• Thermodynamics of a phase-driven proximity Josephson junction
• Topological Josephson Junctions in the Integer Quantum Hall Regime
• Phase-controlled heat modulation with Aharonov-Bohm interferometers
• Temperature-biased double-loop Josephson flux transducer