Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

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

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.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

N. Regnault, M. O. Goerbig, Th. Jolicoeur. Bridge between Abelian and Non-Abelian Fractional Quantum Hall States. Physical Review Letters, 2009, 101, pp.066803. ⟨hal-00275509⟩