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.
*NSF EAGER (DMR -- 1643312), ONR - N00014-14-1-0330, NSF-MRSEC DMR-1420541, ARO MURI W911NF-12-1-0461 Department of Energy de-sc0016239, the Simons Investigator Award, the Packard Foundation and the Schmidt Fund for Innovative Research FIS2016-75862-P and FIS2013-48286-C2-1-P national projects of
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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
