Effect of Landau Level Mixing on Braiding Statistics

Details Effect of Landau Level Mixing on Braiding Statistics Effect of Landau Level Mixing on Braiding Statistics

2007-10-04

arxiv.org/abs/0710.1088v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages

Scientific paper

10.1103/PhysRevLett.100.116803

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

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