Effective field theories of topological crystalline insulators and topological crystals

  title={Effective field theories of topological crystalline insulators and topological crystals},
  author={Sheng-Jie Huang and Chang-Tse Hsieh and Jiabin Yu},
  journal={Physical Review B},
We present a general approach to obtain effective field theories for topological crystalline insulators whose low-energy theories are described by massive Dirac fermions. We show that these phases are characterized by the responses to spatially dependent mass parameters with interfaces. These mass interfaces implement the dimensional reduction procedure such that the state of interest is smoothly deformed into a topological crystal, which serves as a representative state of a phase in the… 
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