From Spinon Band Topology to the Symmetry Quantum Numbers of Monopoles in Dirac Spin Liquids

@article{Song2018FromSB,
  title={From Spinon Band Topology to the Symmetry Quantum Numbers of Monopoles in Dirac Spin Liquids},
  author={Xue Song and Yin-chen He and Ashvin Vishwanath and Chong Wang},
  journal={arXiv: Strongly Correlated Electrons},
  year={2018}
}
The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically we show that aspects of band topology protected by crystalline symmetries determine key properties of the Dirac spin liquid (DSL) which can be defined on the honeycomb, square, triangular and kagom\'e lattices. At low energies, the DSL on all these lattices… 
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