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 nu = 2k/(2kM + 3). The states with M = 0 are bosonic spin-singlet states characterized by a SU(3)k symmetry. We explain how an effective Landau-Ginzburg theory fur the SU(3)(2) state can be constructed. In general, the quasiparticles over these new quantum Hall stales carry spin, fractional charge and non-Abelian quantum statistics.