Topological invariants of disconnected elementary band representations

ORAL

Abstract

Elementary band representations transform according to a minimal set of symmetry-related orbitals. When there is a gap between two groups of bands that together transform as an elementary band representation, at least one of those groups of bands is topological, in the sense that it cannot be smoothly deformed to an atomic limit that preserves the crystal symmetry. These topological bands come in two varieties, depending on whether or not they have a stable topological index (for example, a Chern number). We show that in either case, we can construct a nontrivial topological invariant that is a physical observable.

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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

  • Zhijun Wang

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

  • 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

  • Andrei Bernevig

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