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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 C4vC_{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 SS and TT matrices by constructing all nine topological sectors on a torus and establish the existence of Z3\mathbb{Z}_3 topological order in this SU(3) tRVB state.Comment: 6 pages, 6 figure

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