Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

Abstract

Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states. Here, we provide the first numerical evidence that they emerge as independent entities also in gapless electronic models. Starting from a multi-impurity multichannel chiral Kondo model, we introduce a novel mapping to a single-impurity model, amenable to Wilson's numerical renormalization group. We extract its spectral degeneracy structure and fractional entropy, and calculate the $F$ matrices, which encode the topological information regarding braiding of anyons, directly from impurity spin-spin correlations. Impressive recent advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.

5 pages, 3 figures + Supplemental material - published version

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• Topological symplectic Kondo effect
• Multichannel topological Kondo effect
• Many-body quantum interference route to the two-channel Kondo effect: Inverse design for molecular junctions and quantum dot devices
• Chiral numerical renormalization group
• Topological Quantum Computation on a Chiral Kondo Chain
• Topological Kondo effect with spinful Majorana fermions
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
• Probing single-electron scattering through a non-Fermi liquid charge-Kondo device
• RKKY to Kondo crossover in Helical Edge of a Topological Insulator
• Universal Crossover in the Three-Channel Charge Kondo Model at High Transparency
• Relevance of Anisotropy in the Kondo Effect: Lessons From the Symplectic Case
• Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
• A mesoscopic device for a realization of the Topological Kondo effect