SU(3) and SU(4) singlet quantum Hall states at $\nu=2/3$

ORAL

Abstract

We report on an exact diagonalization study of fractional quantum Hall states at a filling factor $\nu=2/3$ in a system with a four-fold degenerate $n$=0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states which appear at flux quantum shift 2 when a spherical geometry is employed, and lie outside the established composite-fermion or multicomponent Halperin state patterns. We will present the pair correlation functions of these states, and describe similar singlets at another filling factor 2/5. Strategies to construct trial wave functions will be discussed.

*F. Wu, I. Sodemann, A. H. MacDonald and Th. Jolicoeur, Phys. Rev. Lett. 115, 166805 (2015)

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Authors

  • Feng Cheng Wu

    • Department of Physics, University of Texas at Austin
    • Univ of Texas, Austin

  • Inti Sodemann

    • Department of Physics, Massachusetts Institute of Technology

  • Allan H. MacDonald

    • Department of Physics, University of Texas at Austin

  • Thierry Jolicoeur

    • Laboratoire de Physique Th\'eorique et Mod\`eles statistiques, CNRS and Universit\'e Paris-Sud