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

Abstract

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