Bethe ansatz solution of the topological Kondo model

Research output: Contribution to journalArticlepeer-review

Authors

Colleges, School and Institutes

External organisations

  • University of Cologne
  • University of Birmingham
  • Heinrich-Heine-Universität
  • Brookhaven National Laboratory

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 → M - 2 crossovers induced by tunnel couplings between adjacent Majorana bound states.

Details

Original languageEnglish
Article number265001
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number26
Publication statusPublished - 13 Jun 2014

Keywords

  • Bethe ansatz, non-Fermi liquid behavior, topological Kondo effect