
Physics 1998
New Class of NonAbelian SpinSinglet Quantum Hall StatesDOI: 10.1103/PhysRevLett.82.5096 Abstract: We present a new class of nonabelian spinsinglet quantum Hall states, generalizing Halperin's abelian spinsinglet states and the ReadRezayi nonabelian quantum Hall states for spinpolarized 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 spinsinglet states characterized by an SU(3)_k symmetry. We explain how an effective LandauGinzburg 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 nonabelian quantum statistics.
