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arXiv · 0804.1960

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

Waheb Bishara·Gregory A. Fiete·Chetan Nayak
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Abstract

We study the $ν=\frac{2}{k+2}$ quantum Hall states which are particle-hole conjugates of the $ν=\frac{k}{k+2}$ 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 $ν=2+{2/5}$, 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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Waheb Bishara, Gregory A. Fiete, Chetan Nayak. 2008-04-17. Quantum Hall States at $ν=\frac{2}{k+2}$. https://doi.org/10.1103/physrevb.77.241306

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