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arXiv · 1807.03254

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

Xiao-Yu Dong·Ji-Yao Chen·Hong-Hao Tu
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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.

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Xiao-Yu Dong, Ji-Yao Chen, Hong-Hao Tu. 2018-07-09. SU(3) trimer resonating-valence-bond state on the square lattice. https://doi.org/10.1103/physrevb.98.205117

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