Chiral spin states and anyons

Hidetoshi Fukuyama, Osamu Narikiyo, Kazuhiro Kuboki

Bela Bauer, Łukasz Cincio, Brendan P. Keller +4 more

Matan Lotem, Eran Sela, Moshe Goldstein

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.

Laura Messio

H. A. Fertig, Song He, S. Das Sarma

We consider the effect of interplane coupling J' on a pair of layers in the Kalmeyer-Laughlin model of anyon superconductivity. We show by exact diagonalization of an effective continuum model that this coupling has little effect on the chiral-spin-liquid ground state for small J'. For J' larger than twice the gap, one sees a transition away from the chiral spin liquid. We argue that the J' term should introduce short-range attractive interactions between holons in different layers. A model of anyons with such an interaction yields a phase diagram in qualitative agreement with what one expects when working directly with the spin system.

H.B. Thacker