Correlation functions in SU(2)-invariant RVB spin liquids on nonbipartite lattices

TL;DR

This paper develops a Monte Carlo method using Pfaffian sampling to study SU(2)-invariant RVB spin liquids on nonbipartite lattices, overcoming sign problems and revealing topological spin liquid behavior.

Contribution

Introduces a Pfaffian-based Monte Carlo scheme for nonbipartite lattices, enabling large-scale studies of RVB states without sign issues.

Findings

Lattice symmetry is restored in larger systems within each topological sector.

Results support that nearest neighbor RVB states describe a topological spin liquid.

Method allows analysis of systems up to 600 sites.

Abstract

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.