title: Braiding non-Abelian quasiholes in fractional quantum Hall states.
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 Z_{3} 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 Z_{3} Read-Rezayi quasiholes. We also present evidence for the failure of plasma screening in the nonunitary Gaffnian wave function.
authors.affiliation: Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: Yang-Le
authors.initials: YL
authors.lastname: Wu
authors.affiliation: Sorbonne Universités, UPMC University of Paris 06, UMR 7589, LPTHE, F-75005, Paris, France and CNRS, UMR 7589, LPTHE, F-75005, Paris, France.
authors.forename: B
authors.initials: B
authors.lastname: Estienne
authors.affiliation: Department of Physics, Princeton University, Princeton, New Jersey 08544, USA and Laboratoire Pierre Aigrain, ENS-CNRS UMR 8551, Universités P. et M. Curie and Paris-Diderot, 24, rue Lhomond, 75231 Paris Cedex 05, France.
authors.forename: N
authors.initials: N
authors.lastname: Regnault
authors.affiliation: Department of Physics, Princeton University, Princeton, New Jersey 08544, USA.
authors.forename: B Andrei
authors.initials: BA
authors.lastname: Bernevig