New Class of Non-Abelian Spin-Singlet Quantum Hall States

We present a new class of non-Abelian spin-singlet quantum Hall states, generalizing Halperin's Abelian spin-singlet states and the Read-Rezayi non-Abelian quantum Hall states for spin-polarized electrons. We label the states by $(k,M)$ with M odd (even) for fermionic (bosonic) states, and find a filling fraction ν0ex0ex=0ex0ex2k/(2kM+3). The states with M0ex0ex=0ex0ex0 are bosonic spin-singlet states characterized by a SU(3)ₖ symmetry. We explain how an effective Landau-Ginzburg theory for the SU(3)₂ state can be constructed. In general, the quasiparticles over these new quantum Hall states carry spin, fractional charge and non-Abelian quantum statistics.