Higher-order topology protected by latent crystalline symmetries
- URL: http://arxiv.org/abs/2405.02704v1
- Date: Sat, 4 May 2024 16:21:24 GMT
- Title: Higher-order topology protected by latent crystalline symmetries
- Authors: L. Eek, M. Röntgen, A. Moustaj, C. Morais Smith,
- Abstract summary: It is sufficient to have a latent rotation symmetry, which may be revealed upon performing an isospectral reduction on the system.
This work extends the classification of topological crystalline insulators to include latent symmetries.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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