POSSIBLE SPIN-LIQUID STATES ON THE TRIANGULAR AND KAGOME LATTICES

The frustrated quantum spin-one-half Heisenberg model on the triangula r and kagome lattices is mapped onto a single species of fermion carry ing statistical flux theta = pi. The corresponding Chern-Simons gauge theory is analyzed at the Gaussian level and found to be massive. This provides a new motivation for the spin-liquid Kalmeyer-Laughlin wave function. Good overlap of this wave function with the numerical ground state is found for small clusters.