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

We report on an exact diagonalization study of fractional quantum Hall states at filling factor $ν=2/3$ 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.

preprint2015arXivOpen access
Fengcheng WuInti SodemannAllan H. MacDonaldThierry Jolicoeur
cond-mat.mes-hallcond-mat.str-el
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Fengcheng WuInti SodemannAllan H. MacDonaldThierry Jolicoeur

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