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,
