Renormalization group constructions of topological quantum liquids and beyond

  title={Renormalization group constructions of topological quantum liquids and beyond},
  author={Brian Swingle and John McGreevy},
  journal={Physical Review B},
We give a detailed physical argument for the area law for entanglement entropy in gapped phases of matter arising from local Hamiltonians. Our approach is based on renormalization group (RG) ideas and takes a resource oriented perspective. We report four main results. First, we argue for the ``weak area law'': any gapped phase with a unique ground state on every closed manifold obeys the area law. Second, we introduce an RG based classification scheme and give a detailed argument that all… 

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