English

Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model

Strongly Correlated Electrons 2023-04-14 v4 Mesoscale and Nanoscale Physics Quantum Physics

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 FF 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.

Keywords

Cite

@article{arxiv.2205.04418,
  title  = {Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model},
  author = {Matan Lotem and Eran Sela and Moshe Goldstein},
  journal= {arXiv preprint arXiv:2205.04418},
  year   = {2023}
}

Comments

5 pages, 3 figures + Supplemental material - published version