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Phys. Rev. Lett. 99, 236806 (2007) [4 pages]

Particle-Hole Symmetry and the Pfaffian State

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Michael Levin, Bertrand I. Halperin, and Bernd Rosenow
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Received 4 July 2007; published 6 December 2007

We show that the particle-hole conjugate of the Pfaffian state—or “anti-Pfaffian” state—is in a different universality class from the Pfaffian state, with different topological order. The two states can be distinguished easily by their edge physics: their edges differ in both their thermal Hall conductance and their tunneling exponents. At the same time, the two states are exactly degenerate in energy for a ν=5/2 quantum Hall system in the idealized limit of zero Landau level mixing. Thus, both are good candidates for the observed σxy=5/2(e2/h) quantum Hall plateau.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.236806
DOI:
10.1103/PhysRevLett.99.236806
PACS:
73.43.Cd