Transport properties of the Coulomb-Majorana junction

Abstract

We provide a comprehensive theoretical description of low-energy quantum transport for a Coulomb-Majorana junction, where several helical Luttinger liquid nanowires are coupled to a joint mesoscopic superconductor with finite charging energy. Including the Majorana bound states formed near the ends of superconducting wire parts, we derive and analyze the Keldysh phase action describing nonequilibrium charge transport properties of the junction. The low-energy physics corresponds to a two-channel Kondo model with symmetry group SO(M), where M is the number of leads connected to the superconductor. Transport observables, such as the conductance tensor or current noise correlations, display non-trivial temperature or voltage dependences reflecting non-Fermi liquid behavior.

23 pages, 3 figures, final version to appear in New J. Phys. (one figure added)

References in corpus (19)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Introduction to topological superconductivity and Majorana fermions
• Observation of the two-channel Kondo effect
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Topological Kondo effect with Majorana fermions
• Co-tunneling current and shot noise in quantum dots
• Two-electron bunching in transport through a QD induced by Kondo correlations
• Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
• Full counting statistics for the Kondo dot in the unitary limit
• Quantum spins on star graphs and the Kondo model
• Shot noise near the unitary limit of a Kondo quantum dot
• Fermi liquid theory for SU(N) Kondo model
• Transient fluctuation relations for time-dependent particle transport
• The Kondo crossover in shot noise of a single quantum dot with orbital degeneracy

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• Bethe ansatz solution of the topological Kondo model
• Non-Fermi liquid manifold in a Majorana device
• Tunneling spectroscopy of Majorana-Kondo devices
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Electron Teleportation in Multi-Terminal Majorana Islands: Statistical Transmutation and Fractional Quantum Conductance
• Exact nonequilibrium transport in the topological Kondo effect
• Spin liquids from Majorana Zero Modes in a Cooper Box
• Thermodynamics of the Topological Kondo Model
• Holographic optical traps for atom-based topological Kondo devices
• Kondo physics from quasiparticle poisoning in Majorana devices
• Interaction-Induced Renormalization of Tunneling into Multiple Majorana End States of a Topological Superconducting Wire
• Majorana Entanglement Bridge
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Parafermionic generalization of the topological Kondo effect
• Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands
• Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
• $6\pi$ Josephson effect in Majorana box devices
• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Non-Kondo many-body physics in a Majorana-based Kondo type system
• Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
• Quantum transport in coupled Majorana box systems
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• The topological Kondo model out of equilibrium
• Environmental Coulomb blockade of topological superconductor-normal metal junctions
• Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Designing ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ topological orders in networks of Majorana bound states
• Auto- and cross-correlations in the spinful topological Kondo model
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
• A mesoscopic device for a realization of the Topological Kondo effect
• Cross-correlation mediated by Majorana island with finite charging energy