Local order parameters for symmetry fractionalization

  title={Local order parameters for symmetry fractionalization},
  author={Jos{\'e} Garre-Rubio and Sofyan Iblisdir},
  journal={New Journal of Physics},
We propose a family of order parameters to detect the symmetry fractionalization class of anyons in 2D topological phases. This fractionalization class accounts for the projective, as opposed to linear, representations of the symmetry group on the anyons. We focus on quantum double models on a lattice enriched with an internal symmetry in the framework of $G$-isometric projected entangled pair states. Unlike previous schemes based on reductions to effective 1D systems (dimensional… 

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