Thermal signature of Majorana fermions in Josephson junction

Abstract

Existence of distinctive correlation between the thermal conductance and the Josephson current across a 1-D topological Josephson junction (T-JJ) is established and an expression connecting the two is derived in the short junction limit. It is shown that the three terminal T-JJ provides us with an ideal set-up for exploiting the distinctive correlations which aid in identifying hallmarks of Majorana bound state localized at the junction. Our approach combines information form sub-gap Cooper pair transport and transport of above-gap thermally excited quasiparticle which is complementary to the existing studies.

arXiv comment19 pages, 8 figures

References in corpus (71)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• 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
• Shot Noise in Mesoscopic Conductors
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• The Quantum Spin Hall Effect: Theory and Experiment
• Spin-orbit qubit in a semiconductor nanowire
• Quantized Majorana conductance
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Splitting of a Cooper pair by a pair of Majorana bound states
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Induced Superconductivity in the Quantum Spin Hall Edge
• Fractional ac Josephson effect in p- and d-wave superconductors
• Spin polarization of the quantum spin Hall edge states
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• The Josephson heat interferometer
• Rectification of electronic heat current by a hybrid thermal diode
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• Strong tuning of Rashba spin orbit interaction in single InAs nanowires
• Perfect Andreev Reflection of Helical Edge Modes in InAs/GaSb Quantum Wells
• Dynamical detection of Majorana fermions in current-biased nanowires
• Topological Josephson ${\varphi }_0$-junctions
• Observation of thermoelectric currents in high-field superconductor-ferromagnet tunnel junctions
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Towards phase-coherent caloritronics in superconducting circuits
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Quantum Circuit Refrigerator
• Dynamics of Majorana States in a Topological Josephson Junction
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Phenomenology and Dynamics of Majorana Josephson Junction
• Andreev Bound States and Their Signatures
• Engineering Hybrid Epitaxial InAsSb/Al Nanowire Materials for Stronger Topological Protection
• Spin-Orbit Protection of Induced Superconductivity in Majorana Nanowires
• Signatures of topological Josephson junctions
• Nanoscale phase-engineering of thermal transport with a Josephson heat modulator
• Realization of quantum diffraction of a thermal flux
• Efficient phase-tunable Josephson thermal rectifier
• Transport Studies in a Gate-Tunable Three-Terminal Josephson Junction
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Anomalous temperature dependence of the supercurrent through a chaotic Josephson junction
• Coherent caloritronics in Josephson-based nanocircuits
• Robust Majorana conductance peaks for a superconducting lead
• Phase Modulated Thermal Conductance of Josephson Weak Links
• Negative differential thermal conductance and heat amplification in superconducting hybrid devices
• Phase-Tunable Thermal Logic: Computation with Heat
• Heat Transport Through Josephson Point Contacts
• High efficiency thermal switch based on topological Josephson junctions
• Majorana-Weyl crossings in topological multi-terminal junctions
• Fingerprint of topological Andreev bound states in phase-dependent heat transport
• Heat transport through a Josephson junction
• 0-$\pi$ phase-controllable $thermal$ Josephson junction
• Josephson junctions of multiple superconducting wires
• Thermopower and thermal conductance of a superconducting quantum point contact
• Non-invasive thermometer based on proximity superconductor for ultra-sensitive calorimetry
• Topologically nontrivial Andreev bound states
• Evidence of Majorana Zero Modes in Josephson Trijunctions
• Josephson junction based thermometer and its application in bolometry
• Phase-dependent heat transport in Josephson junctions with p-wave superconductors and superfluids
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• Fluctuation of heat current in Josephson junctions
• Tunable multi-electron Pancharatnam phase in intensity interferometry

Cited by in corpus (6)

• Theory of Majorana zero modes in unconventional superconductors
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Quasiparticles-mediated thermal diode effect in Weyl Josephson junctions
• Enhanced Thermoelectricity in Nanowires with inhomogeneous Helical states
• Identification of odd-frequency superconducting pairing in Josephson junctions