Violation of the Wiedemann-Franz law in the Topological Kondo model

Abstract

We study the thermal transport through a Majorana island connected to multiple external quantum wires. In the presence of a large charging energy, we find that the Wiedemann-Franz law is nontrivially violated at low temperature, contrarily to what happens for the overscreened Kondo effect and for nontopological junctions. For three wires, we find that the Lorenz ratio is rescaled by a universal factor 2/3 and we show that this behavior is due to the presence of localized Majorana modes on the island.

arXiv comment6 pages, 2 figures. Published version

References in corpus (73)

• 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
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana fermions in chains of magnetic atoms on a superconductor
• Evidence for Majorana bound state in an iron-based superconductor
• Quantized thermal conductance of dielectric quantum wires
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• Landauer Conductance of Luttinger Liquids with Leads
• Transport in an inhomogeneous interacting one--dimensional system
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Fermion zero modes on vortices in chiral superconductors
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Flux-controlled quantum computation with Majorana fermions
• Is there a renormalization of the 1D conductance in Luttinger Liquid model?
• Dynamics of Inhomogeneous Tomonaga-Luttinger Liquid Wire
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Two-dimensional platform for networks of Majorana bound states
• Reproducing topological properties with quasi-Majorana states
• Thermoelectric transport through strongly correlated quantum dots
• Topological Kondo effect with Majorana fermions
• Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
• Thermal transport in a Luttinger liquid
• Colloquium: Quantum heat transport in condensed matter systems
• Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
• Junctions of three quantum wires
• Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
• Roadmap to Majorana surface codes
• Thermoelectric effects in Kondo correlated quantum dots
• Multi-Terminal Coulomb-Majorana Junction
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Wiedemann-Franz law and Fermi liquids
• Majorana-Klein hybridization in topological superconductor junctions
• Three-terminal nonlocal conductance in Majorana nanowires: Distinguishing topological and trivial in realistic systems with disorder and inhomogeneous potential
• Multi-channel Kondo impurity dynamics in a Majorana device
• Bosonization and Scale Invariance on Quantum Wires
• Realization of 2-channel Kondo effect in a junction of three quantum Ising chains
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• Quantum Fields on Star Graphs
• Coherent transport through a Majorana island in an Aharonov-Bohm interferometer
• Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect
• Quantum spins on star graphs and the Kondo model
• Acoustic Phonon Tunneling and Heat Transport due to Evanescent Electric Fields
• Topological Superconductor-Luttinger Liquid Junctions
• Conductance fingerprint of Majorana fermions in the topological Kondo effect
• Thermoelectric transport through Majorana bound states and violation of Wiedemann-Franz law
• Luttinger Liquid in Non-equilibrium Steady State
• Bethe ansatz solution of the topological Kondo model
• Fermi liquid theory for SU(N) Kondo model
• Tuning of heat and charge transport by Majorana fermions
• Tunneling spectroscopy of Majorana-Kondo devices
• Junctions of multiple quantum wires with different Luttinger parameters
• Wiedemann-Franz law in a non-Fermi liquid and Majorana central charge: Thermoelectric transport in a two-channel Kondo system
• Exact nonequilibrium transport in the topological Kondo effect
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Thermodynamics of the Topological Kondo Model
• Competing Boundary Interactions in a Josephson Junction Network with an Impurity
• Realization of SU(N) Kondo effect in strong magnetic field
• Holographic optical traps for atom-based topological Kondo devices
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Asymmetric Little-Parks Oscillations in Full Shell Double Nanowires
• Josephson junctions in double nanowires bridged by in-situ deposited superconductors
• Quantum confinement suppressing electronic heat flow below the Wiedemann-Franz law
• Transport through a Majorana island: strong tunneling regime
• Quantum thermoelectric and heat transport in the overscreened Kondo regime: Exact conformal field theory results
• Coulomb blockade oscillations of heat conductance in the charge Kondo regime
• Chirality and Current-Current Correlation in Fractional Quantum Hall Systems

Cited by in corpus (26)

• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
• Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Multi-particle scattering and breakdown of the Wiedemann-Franz law at a junction of N interacting quantum wires
• Majorana differential shot noise and its universal thermoelectric crossover
• Generalized Wiedemann-Franz law in a two-site charge Kondo circuit: Lorenz ratio as a manifestation of the orthogonality catastrophe
• Heat Current in Non-Markovian Open Systems
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Majorana-mediated thermoelectric transport in multiterminal junctions
• Nonlocal thermoelectricity in quantum wires as a signature of Bogoliubov-Fermi points
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Many-body quantum dynamics of spin-orbit coupled Andreev states in a Zeeman field
• Understanding Traffic Jams Using Lindblad Superoperators
• The topological Kondo model out of equilibrium
• Majorana Thermoelectrics and Refrigeration
• Heat-charge separation in a hybrid superconducting quantum Hall setup
• Wetting critical behavior in the quantum Ising model within the framework of Lindblad dissipative dynamics
• Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition
• Reaching Van den Broeck limit in linear response and Whitney limit in nonlinear response in edge mode quantum thermoelectrics and refrigeration
• Non-Abelian anyon statistics through AC conductance of a Majorana interferometer
• Thermoelectric fluctuations of interfering Majorana bound states
• Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law
• Magnetic Interactions and Cluster Formation: Boosting Surface Thermopower in Topological Insulators
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
• Spin and thermal current scaling at a $Y$-junction of XX spin chains