Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement

Xin Wan, Kun Yang, and E. H. Rezayi
Phys. Rev. Lett. 97, 256804 – Published 22 December 2006

Abstract

We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at a filling fraction ν=5/2, with Coulomb interaction and a background confining potential. We find the Moore-Read ground state is stable within a finite but narrow window in parameter space. The corresponding low-energy excitations contain a fermionic branch and a bosonic branch, with widely different velocities. A short-range repulsive potential can stabilize a charge +e/4 quasihole at the center, leading to a different edge excitation spectrum due to the change of boundary conditions for Majorana fermions, clearly indicating the non-Abelian nature of the quasihole.

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  • Received 2 October 2006

DOI:https://doi.org/10.1103/PhysRevLett.97.256804

©2006 American Physical Society

Authors & Affiliations

Xin Wan1, Kun Yang2,1, and E. H. Rezayi3

  • 1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, People’s Republic of China
  • 2NHMFL and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
  • 3Physics Department, California State University Los Angeles, Los Angeles, California 90032, USA

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Issue

Vol. 97, Iss. 25 — 22 December 2006

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