Bimorphic Floquet Topological Insulators

Abstract

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by specifically tailored discrete coupling protocols or helical lattice motions, we introduce a new class of bimorphic Floquet topological insulators that leverage connective chains with periodically modulated on-site potentials to unlock new topological features in the system. In exploring a 'chain-driven' generalization of the archetypical Floquet honeycomb lattice, we identify a rich phase structure that can host multiple non-trivial topological phases associated simultaneously with both Chern-type and anomalous chiral states. Experiments carried out in photonic waveguide lattices reveal a unique and strongly confined helical edge state that, owing to its origin in bulk flat bands, can be set into motion in a topologically protected fashion, or halted at will, without compromising its adherence to individual lattice sites.

arXiv comment17 pages, 7 figures

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Cited by in corpus (13)

• Hybrid topological photonic crystals
• Observation of nonlinear disclination states
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Nonlinear photonic disclination states
• Localized dynamics arising from multiple flat bands in a decorated photonic Lieb lattice
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Floquet edge solitons in modulated trimer waveguide arrays
• Dynamical Detection of Topological Spectral Density
• Observation of nonlinear topological corner states originating from different spectral charges
• Floquet topological insulators with hybrid edges
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Observation of nonlinear higher-order topological insulators with unconventional boundary truncations
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering