Edge excitations and non-Abelian statistics in the moore-read state: A numerical study in the presence of coulomb interaction and edge confinement |
| |
Authors: | Wan Xin Yang Kun Rezayi E H |
| |
Institution: | Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, People's Republic of China. |
| |
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. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|