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Higher-order topology protected by latent crystalline symmetries
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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.
Forward citations
Cited by 3 Pith papers
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Fractality-induced Topology
Uniform nearest-neighbor hopping on fractal lattices produces higher-order topological corner states through an effective energy-dependent breathing mechanism revealed by isospectral reduction.
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High-root topological edge-state bands
Edge-state bands of high-root topological insulators are mapped to impurity bands of a uniform chain, yielding a no-diagonalization route to edge-state levels.
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Latent Haldane Models
Decorated two-dimensional lattices are shown to reduce, via isospectral reduction, to energy-dependent Haldane models with latent mass terms, enabling analytic topological phase diagrams.
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