Thermodynamics in topological Josephson junctions

Abstract

We study the thermodynamic properties of topological Josephson junctions using a quantum spin Hall (QSH) insulator-based junction as an example. In particular, we propose that phase-dependent measurements of the heat capacity offer an alternative to Josephson-current measurements to demonstrate key topological features. Even in an equilibrium situation, where the fermion parity is not conserved, the heat capacity exhibits a pronounced double peak in its phase dependence as a signature of the protected zero-energy crossing in the Andreev spectrum. This double-peak feature is robust against changes of the tunneling barrier and thus allows one to distinguish between topological and trivial junctions. At short time scales fermion parity is conserved and the heat capacity is $4\pi$-periodic in the superconducting phase difference. We propose a dispersive setup coupling the Josephson junction to a tank LC circuit to measure the heat capacity of the QSH-based Josephson junction sufficiently fast to detect the $4\pi$-periodicity. Although explicitly calculated for a short QSH-based Josephson junction, our results are also applicable to long as well as nanowire-based topological Josephson junctions.

arXiv comment17 pages, 7 figures

References in corpus (83)

• Topological Insulators
• Topological insulators and superconductors
• Spintronics: Fundamentals and applications
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• 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
• Introduction to topological superconductivity and Majorana fermions
• Semiconductor Spintronics
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• The Josephson heat interferometer
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Dynamical detection of Majorana fermions in current-biased nanowires
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Towards phase-coherent caloritronics in superconducting circuits
• Non-sinusoidal current-phase relationship in Josephson junctions from the 3D topological insulator HgTe
• Dynamics of Majorana States in a Topological Josephson Junction
• Anomalous Josephson current via Majorana bound states in topological insulators
• Spin-helical transport in normal and superconducting topological insulators
• Odd-frequency superconducting pairing in topological insulators
• Attojoule calorimetry of mesoscopic superconducting loops
• Wireless Majorana Bound States: From Magnetic Tunability to Braiding
• Josephson supercurrent through the topological surface states of strained bulk HgTe
• Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Nanoscale phase-engineering of thermal transport with a Josephson heat modulator
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Efficient phase-tunable Josephson thermal rectifier
• Parity measurement in topological Josephson junctions
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Josephson Quantum Heat Engine
• Phase Modulated Thermal Conductance of Josephson Weak Links
• Nonlocal Thermoelectricity in a S-TI-S Junction in Contact with a N-Metal Probe: Evidence for Helical Edge States
• Conductance signatures of odd-frequency superconductivity in quantum spin Hall systems using a quantum point contact
• Heat Transport Through Josephson Point Contacts
• Phase-controlled superconducting heat-flux quantum modulator
• Josephson thermal memory
• High efficiency thermal switch based on topological Josephson junctions
• Tunneling Planar Hall Effect in Topological Insulators: Spin-Valves and Amplifiers
• Universalities of thermodynamic signatures in topological phases
• Microwave spectroscopy of Josephson junctions in topological superconductors
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Josephson-Threshold Calorimeter
• Anomalous low-temperature enhancement of supercurrent in topological-insulator nanoribbon Josephson junctions: evidence for low-energy Andreev bound states
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Detection of second-order topological superconductors by Josephson junctions
• Tunable hybridization of Majorana bound states at the quantum spin Hall edge
• Nanosecond thermometry with Josephson junction
• Fast thermometry with a proximity Josephson junction
• Thermodynamic signatures of edge states in topological insulators
• Phase-Dependent Electronic Specific Heat in Mesoscopic Josephson Junctions
• Coherent Josephson thermodynamic cycles
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• On-demand thermoelectric generation of equal-spin Cooper pairs
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Topological Josephson Heat Engine
• Proximity nanovalve with large phase-tunable thermal conductance
• Phase-Tunable Temperature Amplifier
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Quasiparticle entropy in superconductor/normal metal/superconductor proximity junctions in the diffusive limit
• The invisible Majorana bound state at the helical edge
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• Planar Josephson Hall effect in topological Josephson junctions
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Soliton defects and topological $4\pi$-periodic superconductivity from an orbital magnetic field effect in edge Josephson junctions
• Thermodynamics of a phase-driven proximity Josephson junction

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