Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States

Yang-Le Wu, B. Estienne, N. Regnault, and B. Andrei Bernevig
Phys. Rev. Lett. 113, 116801 – Published 8 September 2014
PDFHTMLExport Citation

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 9 May 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.116801

© 2014 American Physical Society

Authors & Affiliations

Yang-Le Wu1, B. Estienne2,3, N. Regnault1,4, and B. Andrei Bernevig1

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 2Sorbonne Universités, UPMC University of Paris 06, UMR 7589, LPTHE, F-75005, Paris, France
  • 3CNRS, UMR 7589, LPTHE, F-75005, Paris, France
  • 4Laboratoire Pierre Aigrain, ENS-CNRS UMR 8551, Universités P. et M. Curie and Paris-Diderot, 24, rue Lhomond, 75231 Paris Cedex 05, France

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 113, Iss. 11 — 12 September 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×