Sign structures for short-range RVB states on small kagome clusters

Abstract

We extended the Schwinger boson construction to obtain wave functions that are resonating valence bond (RVB) counterparts of the degenerate coplanar classical states on the Kagome lattice. We examined all 84 of them on the 36-site cluster and found that they form a narrow energy band. On the 12-site cluster, there are only four such states and their superpositions accurately account for the second through fourth exact diagonalization (ED) states, while the ED ground state is accurately reproduced by allowing a particular two-vison insertion on top of the q=0 RVB state. Thus, we have established the RVB sign structures for the low energy states on this cluster.

To appear in Phys. Rev. B Brief Report

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• Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet
• Topological excitations and the dynamic structure factor of spin liquids on the kagome lattice
• Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
• Spin-1/2 Heisenberg antiferromagnet on an anisotropic kagome lattice
• Optical conductivity of visons in Z2 spin liquids close to a VBS transition on the kagome lattice
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Schwinger boson mean field theory: numerics for the energy landscape and gauge excitations in two-dimensional antiferromagnets
• Schwinger boson mean field perspective on emergent spins in diluted Heisenberg antiferromagnets
• Why the Schwinger Boson mean field theory fails to describe the spin dynamics of the triangular lattice antiferromagnetic Heisenberg model?
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model