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

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.

4.5 pages and 1 page supplemental material, 5 figures, final version

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• Critical Correlations for Short-Range Valence-Bond Wave Functions on the Square Lattice
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• Hubbard Model on the Pyrochlore Lattice: a 3D Quantum Spin Liquid
• Double-semion topological order from exactly solvable quantum dimer models
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• Critical colored-RVB states in the frustrated quantum Heisenberg model on the square lattice
• Entanglement Entropy and Topological Order in Resonating Valence-Bond Quantum Spin Liquids
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• Spin Correlations and Topological Entanglement Entropy in a Non-Abelian Spin-1 Spin Liquid
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• Entanglement studies of resonating valence bonds on the frustrated square lattice