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Abstract: We consider the properties of the Moore-Read Pfaffian state underparticle-hole conjugation. We show that the particle-hole conjugate of thePfaffian state - or -anti-Pfaffian- state - is in a different universalityclass from the Pfaffian state, with different topological order. The two statescan be distinguished by both their bulk and edge physics though the differenceis most dramatic at the edge: the edge of the anti-Pfaffian state has acomposite structure that leads to a different thermal Hall conductance anddifferent tunneling exponents than the Pfaffian state. At the same time, thetwo states are exactly degenerate in energy for a $ u = 5-2$ quantum Hallsystem in the idealized limit of zero Landau level mixing. Thus, both are goodcandidates for the observed $ u = 5-2$ quantum Hall plateau.



Author: Michael Levin, Bertrand I. Halperin, Bernd Rosenow

Source: https://arxiv.org/



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