Corpus ID: 218763532

Crystalline gauge fields and discrete geometric response for Abelian topological phases with lattice symmetry

@article{Manjunath2020CrystallineGF,
  title={Crystalline gauge fields and discrete geometric response for Abelian topological phases with lattice symmetry},
  author={Naren Manjunath and Maissam Barkeshli},
  journal={arXiv: Strongly Correlated Electrons},
  year={2020}
}
  • Naren Manjunath, Maissam Barkeshli
  • Published 2020
  • Physics
  • arXiv: Strongly Correlated Electrons
  • Clean isotropic quantum Hall fluids in the continuum possess a host of symmetry-protected quantized invariants, such as the Hall conductivity, shift and Hall viscosity, and fractional quantum numbers of quasiparticles. Here we develop topological field theories using discrete crystalline gauge fields to fully characterize quantized invariants of (2+1)D Abelian topological orders in the presence of symmetry group $G = U(1) \times G_{\text{space}}$, where $G_{\text{space}}$ consists of… CONTINUE READING

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