%0 Journal Article
%T SU(3) and SU(4) singlet quantum Hall states at $¦Í=2/3$
%A Fengcheng Wu
%A Inti Sodemann
%A Allan H. MacDonald
%A Thierry Jolicoeur
%J Physics
%D 2015
%I arXiv
%R 10.1103/PhysRevLett.115.166805
%X We report on an exact diagonalization study of fractional quantum Hall states at 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 evaluate the two-particle correlation functions of these states, and discuss quantum phase transitions in graphene between singlet states with different number of components as magnetic field strength is increased.
%U http://arxiv.org/abs/1506.02659v2