Bridge between Abelian and Non-Abelian Fractional Quantum Hall States

N. Regnault ¹, M. O. Goerbig ², Th. Jolicoeur ³

Physical Review Letters 101 (2009) 066803

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.

• 1. Laboratoire Pierre Aigrain (LPA),
  CNRS : UMR8551 – Université Paris VI – Pierre et Marie Curie – Université Paris VII – Paris Diderot – Ecole Normale Supérieure de Paris – ENS Paris
• 2. Laboratoire de Physique des Solides (LPS),
  CNRS : UMR8502 – Université Paris XI – Paris Sud
• 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
  CNRS : UMR8626 – Université Paris XI – Paris Sud