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We construct a class of projected entangled pair states (PEPS) which is exactly the resonating valence bond (RVB) wavefunctions endowed with both short range and long range valence bonds.
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Simeng Yan, D. A. Huse, and S. R. White, Spin-Liquid Ground State of the S = 1 / 2 S=1/2 Kagome Heisenberg Antiferromagnet, Science 332
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T. Tay and O. I. Motrunich, Sign structures for short-range RVB states on small Kagome clusters, Phys. Rev. B 84
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T. Li, F. Becca, W. Hu and S. Sorella, Gapped spin-liquid phase in the J1-J2 Heisenberg model by a bosonic resonating valence-bond ansatz , Phys. Rev. B 86
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