Journal
PHYSICAL REVIEW B
Volume 103, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.075130
Keywords
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Funding
- National Key Research and Development Project of China [2017YFA0302901]
- National Natural Science Foundation of China [11888101, 11804107]
- HUST
- Deutsche Forschungsgemeinschaft (DFG) [SFB 1143, 247310070]
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The study proposes resonating valence bond wave functions for a spin-1 system on the torus that realize a non-Abelian chiral spin liquid. The topological order of the system is revealed through the explicit construction of threefold-degenerate ground states and analytical computation of the modular S and T matrices.
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 SO(3)(1) Wess-Zumino-Witten model. This means that they are lattice analogs of the bosonic Moore-Read state introduced in fractional quantum Hall systems. The topological order of this system is revealed by explicit construction of threefold-degenerate ground states and analytical computation of the modular S and T matrices.
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