SU(3) trimer resonating-valence-bond state on the square lattice

Abstract

We propose and study an SU(3) trimer resonating-valence-bond (tRVB) state with $C_{4v}$ point-group symmetry on the square lattice. By devising a projected entangled-pair state representation, we show that all (connected) correlation functions between local operators in this SU(3) tRVB state decay exponentially, indicating its gapped nature. We further calculate the modular $S$ and $T$ matrices by constructing all nine topological sectors on a torus and establish the existence of ${\mathbb{Z}}_3$ topological order in this SU(3) tRVB state.

arXiv comment6 pages, 6 figures

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Cited by in corpus (8)

• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Trimer states with ${\mathbb{Z}}_3$ topological order in Rydberg atom arrays
• Quantum spin liquid phases in the bilinear-biquadratic two-SU(4)-fermion Hamiltonian on the square lattice
• Quantum trimer models and topological SU(3) spin liquids on the kagome lattice
• SU(4) topological RVB spin liquid on the square lattice
• Classification of symmetry-enriched topological quantum spin liquids
• Trimer classical spin liquid from interacting fractional charges
• Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain