Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

Abstract : We propose a scheme to construct the most prominent Abelian and non-Abelian fractional quantum Hall states from K-component Halperin wave functions. In order to account for a one-component quantum Hall system, these SU(K) colors are distributed over all particles by an appropriate symmetrization. Numerical calculations corroborate the picture that the proposed scheme allows for a unification of both Abelian and non-Abelian trial wave functions in the study of one-component quantum Hall systems.

N. Regnault 1 M. O. Goerbig 2 Th. Jolicoeur 3
1 LPA – Laboratoire Pierre Aigrain
2 LPS – Laboratoire de Physique des Solides
3 LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques