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

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arxiv 1506.02659 v2 pith:HCGKTFLT submitted 2015-06-08 cond-mat.str-el cond-mat.mes-hall

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

classification cond-mat.str-el cond-mat.mes-hall
keywords statesquantumsinglethallappearcomponentscomposite-fermioncorrelation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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