Quantum Hall States at $ν=\frac{2}{k+2}$

Details Quantum Hall States at $ν=\frac{2}{k+2}$ Quantum Hall States at $ν=\frac{2}{k+2}$

2008-04-11

arxiv.org/abs/0804.1960v2

Phys. Rev. B 77, 241306(R) (2008), Editor's Suggestion

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevB.77.241306

We study the $\nu=\frac{2}{k+2}$ quantum Hall states which are particle-hole conjugates of the $\nu=\frac{k}{k+2}$ Read-Rezayi states. We find that equilibration between the different modes at the edge of such a state leads to an emergent SU(2)$_k$ algebra in the counter-propagating neutral sector. Heat flow along the edges of these states will be in the opposite direction of charge flow. In the $k=3$ case, which may be relevant to $\nu=2+{2/5}$, the thermal Hall conductance and the exponents associated with quasiparticle and electron tunneling distinguish this state from competing states such as the hierarchy/Jain state.

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