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arXiv · 2009.04911

Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus

Hua-Chen Zhang·Ying-Hai Wu·Hong-Hao Tu·Tao Xiang
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Abstract

We propose resonating valence bond wave functions for a spin-1 system on the torus that realize a non-Abelian chiral spin liquid. The wave functions take the form of infinite dimensional matrix product states constructed from conformal blocks of the $\mathrm{SO}(3)_{1}$ Wess-Zumino-Witten model. This means that they are lattice analogues of the bosonic Moore-Read state introduced in fractional quantum Hall systems. The topological order of this system is revealed by explicit construction of three-fold degenerate ground states and analytical computation of the modular S and T matrices.

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Hua-Chen Zhang, Ying-Hai Wu, Hong-Hao Tu, Tao Xiang. 2021-02-18. Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus. https://doi.org/10.1103/physrevb.103.075130

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