Published December 13, 2021 | Version v1
Dataset Open

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

* Contact person

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.

Files

File preview

files_description.md

All files

Files (85.4 KiB)

Name Size
md5:268e1aaac237340ba52cb2138ec4e5e3
642 Bytes Preview Download
md5:1427d439063ded7dc7831e914c8fb962
36.6 KiB Download
md5:fb985ab8c3fab5ecd1467da6e54ac573
9.3 KiB Download
md5:4eea64e51d8878e582a0650a1ac3a154
19.5 KiB Download
md5:68b8cecbc559d398577a5fcba9cf0194
19.4 KiB Download

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