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Many-terminal Majorana island: From topological to multichannel Kondo model

2016/09/15 by Loïc Herviou, Karyn Le Hur, Christophe Mora · 1 citation
Materials Science · Physics and Astronomy · #Bound state #Charge (physics) #Condensed matter physics #Coulomb blockade #Dirac fermion #Electron #Fermi energy #Fermion #Graphene research and applications #Kondo effect #MAJORANA #Mesoscopic physics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Spin (aerodynamics) #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.94.235102

published as Phys. Rev. B 94, 235102 (2016) · 15 pages, 3 figures, to be submitted to PRB - figure compilation solved

arxiv created 2016/09/15 · openalex created_date 2016/09/23 · openalex publication_date 2016/12/01 · arxiv updated 2016/12/07 · openalex updated_date 2026/08/05

Abstract

The Kondo effect refers to a localized spin impurity that is screened by conduction electrons at low temperatures, leading to entanglement and nontrivial transport properties. Connecting zero-energy Majorana bound states of a charge-quantized superconducting island to M normal metallic leads realizes exotic SO(M) Kondo models with mesoscopic systems. In the Coulomb-blockade regime, the Majorana fermions lead to a family of non-Fermi-liquid fixed points and symmetric correlated transport between the leads, dubbed the topological Kondo effect (TKE). This work brings light to the resonant limit, where the charging energy selects two consecutive macroscopic charge states. The interplay between the charge states and the Majorana fermions allows for an exact mapping to the interacting multichannel Kondo model (MCKM). The quantum Brownian motion analogy proves the existence of a continuously varying line of fixed points between the MCKM and the TKE, characterized by fractional conductance, depending on the electron-electron interactions in the leads.

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