Higher-order topology protected by latent crystalline symmetries
arXiv:2405.02704 · doi:10.21468/SciPostPhys.18.2.061
Abstract
We demonstrate that rotation symmetry is not a necessary requirement for the existence of fractional corner charges in Cn-symmetric higher-order topological crystalline insulators. Instead, it is sufficient to have a latent rotation symmetry, which may be revealed upon performing an isospectral reduction on the system. We introduce the concept of a filling anomaly for latent crystalline symmetric systems, and propose modified topological invariants. The notion of higher-order topology in two dimensions protected by Cn symmetry is thus generalized to a protection by latent symmetry. Our claims are corroborated by concrete examples of models that show non-trivial corner charge in the absence of Cn-symmetry. This work extends the classification of topological crystalline insulators to include latent symmetries.
arXiv comment25 pages, 13 figures. 22 pages main text and 3 pages appendix. Regular article to be submitted to SciPost
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