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- W2035839812 abstract "We exploit a natural projected entangled-pair state (PEPS) representation for the resonating Affleck-Kennedy-Lieb-Tasaki loop (RAL) state. By taking advantage of PEPS-based analytical and numerical methods, we characterize the RAL states on various two-dimensional lattices. On square and honeycomb lattices, these states are critical since the dimer-dimer correlations decay as a power law. On the kagome lattice, the RAL state has exponentially decaying correlation functions, supporting the scenario of a gapped spin liquid. We provide further evidence that the RAL state on the kagome lattice is a ${mathbb{Z}}_{2}$ spin liquid, by identifying the four topological sectors and computing the topological entropy. Furthermore, we construct a one-parameter family of PEPS states interpolating between the RAL state and a short-range resonating valence bond state and find a critical point, consistent with the fact that the two states belong to two different phases. We also perform a variational study of the spin-1 kagome Heisenberg model using this one-parameter PEPS." @default.
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- W2035839812 date "2014-05-09" @default.
- W2035839812 modified "2023-10-16" @default.
- W2035839812 title "Topology and criticality in the resonating Affleck-Kennedy-Lieb-Tasaki loop spin liquid states" @default.
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- W2035839812 doi "https://doi.org/10.1103/physrevb.89.174411" @default.
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