ArticleNature communications2023
Hyperbolic band topology with non-trivial second Chern numbers.
Article in Nature communications, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- Space and space-time topologies in a type-II hyperbolic lattice.Nature communications · 2026Article
- Hyperbolic Topological Quantum Sources.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Topolectrical space-time circuits.Nature communications · 2025Article
- Anomalous and Chern topological waves in hyperbolic networks.Nature communications · 2024Article
- Observation of a Higher-Order End Topological Insulator in a Real Projective Lattice.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Hyperbolic photonic topological insulators.Nature communications · 2024Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Topological band theory establishes a standardized framework for classifying different types of topological matters. Recent investigations have shown that hyperbolic lattices in non-Euclidean space can also be characterized by hyperbolic Bloch theorem. This theory promotes the investigation of hyperbolic band topology, where hyperbolic topological band insulators protected by first Chern numbers have been proposed. Here, we report a new finding on the construction of hyperbolic topological band insulators with a vanished first Chern number but a non-trivial second Chern number. Our model possesses the non-abelian translational symmetry of {8,8} hyperbolic tiling. By engineering intercell couplings and onsite potentials of sublattices in each unit cell, the non-trivial bandgaps with quantized second Chern numbers can appear. In experiments, we fabricate two types of finite hyperbolic circuit networks with periodic boundary conditions and partially open boundary conditions to detect hyperbolic topological band insulators. Our work suggests a new way to engineer hyperbolic topological states with higher-order topological invariants.
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