SPIN-SINGLET LAUGHLIN-HALPERIN TYPE WAVEFUNCTIONS FOR THE QUANTUM HALL STATES

We construct a class of spin-singlet wavefunctions for the filling factors ν=2/(2m±1), where m is an odd integer, and ν=1/2 quantum Hall states, based on Halperin’s generalization of the Laughlin wavefunction to systems without full spin polarization. The properties of the ν=2/(2m±1) states are consistent with the results obtained from the numerical calculations of small systems.