Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States

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作   者：

Yang-Le Wu;  B. Estienne;  N. Regnault;  B. Andrei Bernevig; 

作者机构：

LPTHE;  Universites P. et M. Curie and Paris-Diderot;  USA;  rue Lhomond;  Princeton University;  UPMC University of Paris 06;  New Jersey 08544;  24;  75231 Paris Cedex 05;  Department of Physics;  F-75005;  CNRS;  Laboratoire Pierre Aigrain;  Sorbonne Universites;  France;  Princeton;  Paris;  UMR 7589;  ENS-CNRS UMR 8551; 

关键词：

entanglement production;  fractional statistics systems (anyons;  characterization;  and manipulation;  theory and modeling;  etc.); 

期刊名称：

Physical review letters

i s s n：

0031-9007

年卷期：

2014 年 113 卷 11 期

页   码：

116801.1-116801.6

页   码：

摘   要：

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.