Topological phenomena in honeycomb Floquet metamaterials

DOI10.1007/S00208-023-02583-0arXiv2209.03782OpenAlexW4323074489MaRDI QIDQ6198264

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Publication date: 21 February 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.03782

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Linear differential equations in abstract spaces (34G10) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Bulk-edge correspondence for two-dimensional topological insulators
• Edge states in honeycomb structures
• Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene
• Bulk-edge correspondence for two-dimensional Floquet topological insulators
• The bulk-edge correspondence for disordered chiral chains
• Geometric phases in classical and quantum mechanics
• Time-dependent high-contrast subwavelength resonators
• Topologically protected edge modes in one-dimensional chains of subwavelength resonators
• Non-commutative odd Chern numbers and topological phases of disordered chiral systems
• A short course on topological insulators. Band structure and edge states in one and two dimensions
• Asymptotic Floquet theory for first order ODEs with finite Fourier series perturbation and its applications to Floquet metamaterials
• Topologically protected states in one-dimensional continuous systems and Dirac points
• Honeycomb Schrödinger Operators in the Strong Binding Regime
• Temporally Manipulated Plasmons on Graphene
• Honeycomb lattice potentials and Dirac points
• Robust edge modes in dislocated systems of subwavelength resonators

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