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Phys. Rev. B 77, 241306(R) (2008) [4 pages]

Quantum Hall states at ν=2/k+2: Analysis of the particle-hole conjugates of the general level-k Read-Rezayi states

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Waheb Bishara1, Gregory A. Fiete1, and Chetan Nayak2,3
1Department of Physics, California Institute of Technology, MC 114-36, Pasadena, California 91125, USA
2Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA
3Department of Physics, University of California, Santa Barbara, California 93106, USA

Received 17 April 2008; published 19 June 2008

We study the ν=2/k+2 quantum Hall states which are particle-hole conjugates of the ν=2/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 and/or Jain state.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.241306
DOI:
10.1103/PhysRevB.77.241306
PACS:
73.43.−f, 71.10.Pm