Multicellularity of delicate topological insulators
- 1. Department of Physics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
- 2. Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
- 3. Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-2918, USA
- 4. Physics Department, University of California Santa Cruz, Santa Cruz, CA 95064, USA
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Description
Being Wannierizable is not the end of the story for topological insulators. We introduce a family of topological insulators that would be considered trivial in the paradigm set by the tenfold way, topological quantum chemistry, and the method of symmetry-based indicators. Despite having a symmetric, exponentially localized Wannier representation, each Wannier function cannot be completely localized to a single primitive unit cell in the bulk. Such multicellular topology is shown to be neither stable nor fragile, but delicate; i.e., the topology can be nullified by adding trivial bands to either valence or conduction band.
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References
Journal reference (Published code generates data and figures for this paper) A. Nelson, T. Neupert, T. Bzdušek, A. Alexandradinata, Phys. Rev. Lett. 126, 216404 (2021), doi: 10.1103/PhysRevLett.126.216404