From local symmetry to band structure topology

COFFEE_KLATCH · Invited

Abstract

Weyl semi-metals and their symmetry-protected generalizations are sought after for their exotic Fermi arcs and unconventional transport properties. Symmetry can force these degeneracies to lie on special points or lines. However, it can be a challenge to find materials that realize these band crossings near the Fermi level. Using the theory of topological quantum chemistry, we describe how the local symmetry properties of a chemical compound (i.e., its orbitals and crystal structure) determine which symmetry representations appear at each point in the Brillouin zone and, ultimately, the topology of the band structure. This theory unites symmetry-enforced semi-metals and topological crystalline insulators. We describe algorithms to search for materials that realize these phases.

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Presenters

  • Jennifer Cano

    Princeton Center for Theoretical Science, Princeton University, Princeton Center for Theoretical Science, Physics, Princeton University, Princeton University, Center for Theoretical Science, Princeton University, Physics, Princeton

Authors

  • Jennifer Cano

    Princeton Center for Theoretical Science, Princeton University, Princeton Center for Theoretical Science, Physics, Princeton University, Princeton University, Center for Theoretical Science, Princeton University, Physics, Princeton

  • Barry Bradlyn

    Princeton Center for Theoretical Science, Princeton University, Princeton Center for Theoretical Science, Princeton University, Center for Theoretical Science, Princeton University, Physics, Princeton

  • Luis Elcoro

    Condensed Matter Physics, University of the Basque Country UPV/EHU, University of the Basque Country, Condensed Matter Physics, University of the Basque Country

  • Maia Vergniory

    Donostia International Physics Center, DICP, Applied Physics II, University of the Basque Country UPV/EHU

  • Zhijun Wang

    Physics, Princeton University, Princeton University, Department of Physics, Princeton University, Physics, Princeton

  • Claudia Felser

    Max Planck Institute for the Chemical Physics of Solids, Max Planck Institute for Chemical Physics of Solids, Max Planck Institute, solid State Chemistry, Max-Planck-Institute for Chemical Physics of Solids,

  • Mois Aroyo

    Condensed Matter Physics, University of the Basque Country UPV/EHU, Condensed Matter Physics, University of the Basque Country