Characterizing topological band structures with space-group symmetric entanglement cuts

ORAL

Abstract

The interplay of topology and geometry has been -- and continues to be -- a rich area of study for condensed matter physics. Recently, it has been realized that spatial symmetries allow for the stabilization of topological phases much more exotic than those that can be found with time-reversal symmetry alone. However, given an unknown symmetry-protected topological band structure, it is unclear in general how to experimentally diagnose its nontrivial topology. In this talk, we argue that the entanglement spectrum for certain symmetry-preserving subregions provides an approach for addressing this issue. We show that by choosing an entanglement subregion which respects a subgroup — either finite in the case of point subgroups, or infinite in the case of space subgroups — of the spatial symmetries of the Hamiltonian, we can extract information about the topological character of the occupied bands.

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Presenters

  • Barry Bradlyn

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

Authors

  • Barry Bradlyn

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

  • 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

  • Zhijun Wang

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

  • Maia Vergniory

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

  • 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

  • Mois Aroyo

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

  • 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,

  • Andrei Bernevig

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