  We introduce a Monte Carlo scheme based on sampling of Pfaffians to
investigate Anderson's resonating-valence-bond (RVB) spin liquid wave function
on the kagome and the triangular lattice. This eliminates a sign problem that
prevents utilization of the valence bond basis in Monte Carlo studies for
non-bipartite lattices. Studying lattice sizes of up to 600 sites, we calculate
singlet-singlet and spin-spin correlations, and demonstrate how the lattice
symmetry is restored within each topological sector as the system size is
increased. Our findings are consistent with the expectation that the nearest
neighbor RVB states describe a topological spin liquid on these non-bipartite
lattices.
