Braiding non-abelian quasiholes in fractional quantum hall states

Yang Le Wu, B. Estienne, N. Regnault, B. Andrei Bernevig

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Quasiholes in certain fractional quantum Hall states are promising candidates for the experimental realization of non-Abelian anyons. They are assumed to be localized excitations, and to display non-Abelian statistics when sufficiently separated, but these properties have not been explicitly demonstrated except for the Moore-Read state. In this work, we apply the newly developed matrix product state technique to examine these exotic excitations. For the Moore-Read and the Z3 Read-Rezayi states, we estimate the quasihole radii, and determine the correlation lengths associated with the exponential convergence of the braiding statistics. We provide the first microscopic verification for the Fibonacci nature of the Z3 Read-Rezayi quasiholes. We also present evidence for the failure of plasma screening in the nonunitary Gaffnian wave function.

Original languageEnglish (US)
Article number116801
JournalPhysical review letters
Volume113
Issue number11
DOIs
StatePublished - Sep 12 2014

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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