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Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States

Author(s): Wu, Yang-Le; Estienne, B; Regnault, N; Bernevig, Bogdan A.

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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.
Publication Date: 8-Sep-2014
Citation: Wu, Yang-Le, Estienne, B, Regnault, N, Bernevig, B Andrei. (2014). Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States. PHYSICAL REVIEW LETTERS, 113 (10.1103/PhysRevLett.113.116801
DOI: doi:10.1103/PhysRevLett.113.116801
ISSN: 0031-9007
EISSN: 1079-7114
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW LETTERS
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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