Effect of Landau level mixing on braiding statistics.

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...

Ausführliche Beschreibung

Bibliographische Detailangaben
1. Verfasser: Simon, S
Format: Journal article
Sprache:English
Veröffentlicht: 2008
Beschreibung
Zusammenfassung: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.