Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order

  title={Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order},
  author={Zheng-Cheng Gu and Xiao-Gang Wen},
  journal={Physical Review B},
We study the renormalization group flow of the Lagrangian for statistical and quantum systems by representing their path integral in terms of a tensor network. Using a tensor-entanglement-filtering renormalization approach that removes local entanglement and produces a coarse-grained lattice, we show that the resulting renormalization flow of the tensors in the tensor network has a nice fixed-point structure. The isolated fixedpoint tensors Tinv plus the symmetry group Gsym of the tensors i.e… Expand
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