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Journal Article

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

MPS-Authors
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Dong,  Xiao-Yu
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

Fulltext (public)

1807.03254.pdf
(Preprint), 847KB

Supplementary Material (public)
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Citation

Dong, X.-Y., Chen, J.-Y., & Tu, H.-H. (2018). SU(3) trimer resonating-valence-bond state on the square lattice. Physical Review B, 98(20): 205117. doi:10.1103/PhysRevB.98.205117.


Cite as: http://hdl.handle.net/21.11116/0000-0002-95A8-8
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 Z(3) topological order in this SU(3) tRVB state.