title: Edge excitations and non-Abelian statistics in the moore-read state: A numerical study in the presence of coulomb interaction and edge confinement.
abstract: We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at a filling fraction nu = 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.
authors.affiliation: Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, People's Republic of China.
authors.forename: Xin
authors.initials: X
authors.lastname: Wan
authors.forename: Kun
authors.initials: K
authors.lastname: Yang
authors.forename: E H
authors.initials: EH
authors.lastname: Rezayi