TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.2.061
TI  - Higher-order topology protected by latent crystalline symmetries
PY  - 2025/02/20
UR  - https://www.scipost.org/SciPostPhys.18.2.061
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 2
SP  - 061
A1  - Eek, Lumen
AU  - Röntgen, Malte
AU  - Moustaj, Anouar
AU  - Morais Smith, Cristiane
AB  - We demonstrate that rotation symmetry is not a necessary requirement for the existence of fractional corner charges in $C_n$-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 $C_n$ 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 $C_n$-symmetry. This work extends the classification of topological crystalline insulators to include latent symmetries.
ER  -

@Article{10.21468/SciPostPhys.18.2.061,
	title={{Higher-order topology protected by latent crystalline symmetries}},
	author={Lumen Eek and Malte Röntgen and Anouar Moustaj and Cristiane Morais Smith},
	journal={SciPost Phys.},
	volume={18},
	pages={061},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.2.061},
	url={https://scipost.org/10.21468/SciPostPhys.18.2.061},
}