Effect of Landau Level Mixing on Braiding Statistics

Abstract

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.

4 pages

References in corpus (2)

• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• A Plasma Analogy and Berry Matrices for Non-Abelian Quantum Hall States

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