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Abstract:

We examine the effect of Landau level mixing on the braiding statistics of quasiparticles of Abelian and non-Abelian quantum Hall states. While path dependent geometric phases can perturb the Abelian part of the statistics, we find that the non-Abelian properties remain unchanged to an accuracy that is exponentially small in the distance between quasiparticles.

Abstract:

We construct a family of BCS paired composite-fermion wave functions that generalize but remain in the same topological phase as the Moore-Read Pfaffian state for the half-filled Landau level. It is shown that for a wide range of experimentally relevant interelectron interactions, the ground state can be very accurately represented in this form. © 2008 The American Physical Society.