Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

• URL: http://arxiv.org/abs/2205.04418v4
• Date: Wed, 12 Apr 2023 21:14:25 GMT
• Title: Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
• Authors: Matan Lotem, Eran Sela, Moshe Goldstein
• Abstract summary: We provide the first numerical evidence that non-Abelian anyons emerge as independent entities in gapless electronic models. Impressive advances on realizing multichannel Kondo systems with chiral edges may thus bring anyons into reality sooner than expected.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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