Particle-hole symmetry and the pfaffian state

Michael Levin, Bertrand I. Halperin, Bernd Rosenow

Research output: Contribution to journalArticlepeer-review

325 Scopus citations


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=52(e2/h) quantum Hall plateau.

Original languageEnglish
Article number236806
JournalPhysical Review Letters
Issue number23
StatePublished - 6 Dec 2007
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)


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