SU(3) and SU(4) singlet quantum Hall states at =2/3
Abstract
We report on an exact diagonalization study of fractional quantum Hall states at filling factor =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.
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