Abstract
We study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at a filling fraction , 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 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.
- Received 2 October 2006
DOI:https://doi.org/10.1103/PhysRevLett.97.256804
©2006 American Physical Society