Ground state and edge excitations of quantum Hall liquid at filling factor 2/3

Details Ground state and edge excitations of quantum Hall liquid at filling factor 2/3 Ground state and edge excitations of quantum Hall liquid at filling factor 2/3

2008-09-23

arxiv.org/abs/0809.3836v1

Phys. Rev. B 78, 235315 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 13 figures

Scientific paper

10.1103/PhysRevB.78.235315

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $\nu=2/3$ in a microscopic model including long-range Coulomb interaction and edge confining potential, based on the disc geometry. We find the ground state is accurately described by the particle-hole conjugate of a $\nu=1/3$ Laughlin state. We also find there are two counter-propagating 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 of 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 increasing layer thickness (which softens of the Coulomb interaction) reduces both the forward mode and the backward mode velocities.

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