Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

TL;DR

This paper provides numerical evidence that non-Abelian anyons can emerge in gapless electronic models, specifically in a multichannel chiral Kondo model, and demonstrates methods to analyze their topological properties.

Contribution

It introduces a novel mapping to analyze multichannel chiral Kondo models and extracts topological information like $F$ matrices directly from impurity correlations.

Findings

Numerical evidence of non-Abelian anyons in gapless models

Development of a new mapping for multichannel Kondo models

Calculation of topological braiding matrices from impurity correlations

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.