Correlation functions in SU(2)-invariant resonating-valence-bond spin liquids on nonbipartite lattices.
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 nonbipartite 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 nonbipartite lattices.
Department of Physics and Center for Materials Innovation, Washington University, St. Louis, Missouri 63130, USA.
Julia
J
Wildeboer
Alexander
A
Seidel