Four-dimensional semimetals with tensor monopoles: From surface states to topological responses

@article{Zhu2020FourdimensionalSW,
  title={Four-dimensional semimetals with tensor monopoles: From surface states to topological responses},
  author={Y. Zhu and N. Goldman and G. Palumbo},
  journal={Physical Review B},
  year={2020},
  volume={102},
  pages={081109}
}
Quantum anomalies offer a useful guide for the exploration of transport phenomena in topological semimetals. In this work, we introduce a model describing a semimetal in four spatial dimensions, whose nodal points act like tensor monopoles in momentum space. This system is shown to exhibit monopole-to-monopole phase transitions, as signaled by a change in the value of the topological Dixmier-Douady invariant as well as by the associated surface states on its boundary. We use this model to… Expand
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