Bethe ansatz solution of the topological Kondo model

Abstract

Conduction electrons coupled to a mesoscopic superconducting island hosting Majorana bound states have been shown to display a topological Kondo effect with robust non-Fermi liquid correlations. With $M$ bound states coupled to $M$ leads, this is an SO($M$) Kondo problem, with the asymptotic high and low energy theories known from bosonization and conformal field theory studies. Here we complement these approaches by analyzing the Bethe ansatz equations describing the exact solution of these models at all energy scales. We apply our findings to obtain nonperturbative results on the thermodynamics of $M\to M-2$ crossovers induced by tunnel couplings between adjacent Majorana bound states.

14 pages, 1 figure

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Cited by in corpus (9)

• Tunneling spectroscopy of Majorana-Kondo devices
• Thermodynamics of the Topological Kondo Model
• Integrable anyon chains: from fusion rules to face models to effective field theories
• Quantum phases of a chain of strongly interacting anyons
• Tunable Kondo screening length at a Y-junction of three inhomogenous spin chains
• ABCD of Kondo effect
• Junction of three off-critical quantum Ising chains and two-channel Kondo effect in a superconductor
• Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
• Real fermion modes, impurity entropy, and nontrivial fixed points in the phase diagram of junctions of interacting quantum wires and topological superconductors