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

ORAL

Abstract

We propose and study an SU(3) trimer resonating-valence-bond (tRVB) state with C4v point- group symmetry on the square lattice. By devising a projected entangled-pair state (PEPS) 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 Z3 topological order in this SU(3) tRVB state.

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Presenters

  • Xiaoyu Dong

    • California State University, Northridge, USA
    • California state University, Northridge, USA

Authors

  • Xiaoyu Dong

    • California State University, Northridge, USA
    • California state University, Northridge, USA

  • Ji-Yao Chen

    • C. N. R. S. and Université de Toulouse, Toulouse, France

  • Hong-Hao Tu

    • Technische Universität Dresden, Dresden, Germany