Edge Excitations of the $ν= 2/3$ Spin-Singlet Quantum Hall State

Details Edge Excitations of the $ν= 2/3$ Spin-Singlet Quantum Hall State Edge Excitations of the $ν= 2/3$ Spin-Singlet Quantum Hall State

1996-06-21

arxiv.org/abs/cond-mat/9606156v1

Physics

Condensed Matter

7 pages, LaTeX using prb.sty, 2 short PostScript figures

Scientific paper

10.1103/PhysRevB.55.7818

The spectrum of edge excitations is derived for the spin-unpolarized $\nu = 2$ and $\nu = 2/3$ FQHE. Numerical diagonalization of a system of six electrons on a disc confirms that the edge $\nu = 2/3$ spin-singlet FQHE state consists of oppositely directed spin and charge branches on the same physical edge. The highly correlated $\nu = 2/3$ singlet edge is shown to have the same spin branch as the $\nu = 2$ singlet edge, providing evidence that the same $SU(2)_{k = 1}$ Kac-Moody algebra describes all unmixed spin branches. The spin and charge branches of the singlet state at $\nu = 2/3$ are less coupled than the two branches of the spin-polarized state at the same filling factor, suggesting that the conductance along an edge may increase sharply across the polarized-unpolarized transition.

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