Publication date: Dec 13, 2021
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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|36.6 KiB||Code that generates data for figure 2 in the main text: bulk and surface Wannier functions for the delicate topological insulator; total polarization|
|9.3 KiB||Code that generates data for figure 3 in the main text: polarization for the Hopf insulator|
|19.5 KiB||Code that generates data for figure 4 in the main text: spectrum of Hopf-insulating and RTP-insulating slab|
|19.4 KiB||Code that generates data for figure S2 in the supplementary material: stability of RTP invariant|