Exact nonequilibrium transport in the topological Kondo effect

Abstract

A leading candidate for experimental confirmation of the non-local quantum dynamics of Majorana fermions is the topological Kondo effect, predicted for mesoscopic superconducting islands connected to metallic leads. We identify an anisotropic, Toulouse-like, limit of the topological Kondo problem where the full nonequilibrium conductance and shot noise can be calculated exactly. Near the Kondo fixed point, we find novel asymptotic features including a universal conductance scaling function, and fractional charge quantisation observable via the Fano factor. In the universal regime, our results apply for generic anisotropy and even away from the Kondo limit as long as the system supports an emergent topological Kondo fixed point. Our approach thus provides key new qualitative insights and exact expressions for quantitative comparisons to future experimental data.

v2: accepted version

References in corpus (14)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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 Ferromagnetic Atomic Chains on a Superconductor
• Exponential Protection of Zero Modes in Majorana Islands
• Observation of the two-channel Kondo effect
• Topological Kondo effect with Majorana fermions
• Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
• Two-electron bunching in transport through a QD induced by Kondo correlations
• Quantum spins on star graphs and the Kondo model
• Bethe ansatz solution of the topological Kondo model
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• $6\pi$ Josephson effect in Majorana box devices

Cited by in corpus (20)

• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Fractionalization and anyonic statistics in the integer quantum Hall collider
• Charge Fractionalization in a Kondo Device
• Violation of the Wiedemann-Franz law in the Topological Kondo model
• Two-sites quantum island in the quasi-ballistic regime
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Quantum thermoelectric and heat transport in the overscreened Kondo regime: Exact conformal field theory results
• Transport properties of Majorana bound states networks in the Coulomb blockade regime
• Nonequilibrium Kondo effect by equilibrium numerical renormalization group method: The hybrid Anderson model subject to a finite spin bias
• Quantum transport in coupled Majorana box systems
• Multichannel topological Kondo effect
• Signatures of topological ground state degeneracy in Majorana islands
• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• The topological Kondo model out of equilibrium
• Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Interplay between pairing and correlations in spin-polarized bound states
• Embedded Majorana Islands
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices