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arXiv · 0809.3836

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

Zi-Xiang Hu·Hua Chen·Kun Yang·E. H. Rezayi·Xin Wan
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Abstract

We present a numerical study of fractional quantum Hall liquid at Landau level filling factor $ν=2/3$ 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 $ν=1/3$ 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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Zi-Xiang Hu, Hua Chen, Kun Yang, E. H. Rezayi, Xin Wan. 2008-09-23. Ground state and edge excitations of quantum Hall liquid at filling factor 2/3. https://doi.org/10.1103/physrevb.78.235315

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