Abstract
We present a numerical study of fractional quantum Hall liquid at Landau-level filling factor in a microscopic model including long-range Coulomb interaction and edge confining potential based on the disk geometry. We find that the ground state is accurately described by the particle-hole conjugate of a Laughlin state. We also find that there are two counterpropagating edge modes, and the velocity of the forward-propagating mode is larger than the backward-propagating mode. The velocities have opposite responses to the change in the background confinement potential. On the other hand changing the two-body Coulomb potential has qualitatively the same effect on the velocities; for example, we find that increasing layer thickness (which softens of the Coulomb interaction) reduces both the forward mode and the backward mode velocities.
6 More- Received 28 September 2008
DOI:https://doi.org/10.1103/PhysRevB.78.235315
©2008 American Physical Society