Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
arXiv:2101.08810 · doi:10.1063/5.0042294
Abstract
We investigate the dynamics and topology of metastructures with quasiperiodically modulated local resonances. The concept is implemented on a LEGO beam featuring an array of tunable pillar-cone resonators. The versatility of the platform allows the experimental mapping of the beam's Hofstadter-like resonant spectrum, which is the first reported observation for an elastic medium. The non-trivial spectral gaps are classified by evaluating the integrated density of states of the bulk bands, which is experimentally verified through the observation of topological edge states localized at the boundaries. Results also show that the spatial location of the edge states can be varied through the selection of the phase of the resonator's modulation law. The presented results open new pathways for the design of metastructures with novel functionalities going beyond those encountered in periodic media by exploiting aperiodic patterning of local resonances and suggest a simple, viable platform for the observation of a variety of topological phenomena.
References in corpus (36)
- Topological Insulators
- Topological Field Theory of Time-Reversal Invariant Insulators
- Topological Acoustics
- Topological States and Adiabatic Pumping in Quasicrystals
- Observation of phononic helical edge states in a mechanical 'topological insulator'
- Observation of topological valley transport of sound in sonic crystals
- Topological Phononic Crystals with One-Way Elastic Edge Waves
- Topologically protected elastic waves in phononic metamaterials
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Floquet Topological Insulators for Sound
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
- Topological phonon modes and their role in dynamic instability of microtubules
- A General Theory for Bandgap Estimation in Locally Resonant Metastructures
- Observation of topologically protected helical edge modes in Kagome elastic plates
- Edge states and topological pumping in elastic lattices with periodically modulated coupling
- Bandgap widening by disorder in rainbow metamaterials
- Edge states in trimer lattices
- Experimental observation of temporal pumping in electro-mechanical waveguides
- Experimental observation of non-reciprocal band-gaps in a space-time modulated beam using a shunted piezoelectric array
- Observation of topological edge modes in a quasi-periodic acoustic waveguide
- Manipulating waves by distilling frequencies: a tunable shunt-enabled rainbow trap
- Topological pumping of edge states via adiabatic passage
- Experimental Demonstration of Dynamic Topological Pumping Across Incommensurate Bilayered Acoustic Metamaterials
- The 6D quantum Hall effect and 3D topological pumps
- Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
- Experimental investigation of amplification, via a mechanical delay-line, in a rainbow-based metasurface for energy harvesting
- Manipulating waves with LEGO bricks: A versatile experimental platform for metamaterial architectures
- Virtual Topological Insulators with Real Quantized Physics
- Electromagnetic response of quantum Hall systems in dimensions five and six and beyond
- Topological Edge Modes by Smart Patterning
- Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
- Topological Gaps by Twisting
- Revealing the boundary Weyl physics of the four-dimensional Hall effect via phason engineering in metamaterials
Cited by in corpus (10)
- Topological edge states of quasiperiodic elastic metasurfaces
- Inerter-based Elastic Metamaterials for Band Gap at Extremely Low Frequency
- Material vs. structure: Topological origins of band-gap truncation resonances in periodic structures
- Quasidisorder Induced Topology
- Long-range order Bragg scattering and its effect on the dynamic response of a Penrose-like phononic crystal plate
- Symmetry-driven Phononic Metamaterials
- High-Quality Resonances in Quasi-Periodic Clusters of Scatterers for Flexural Waves
- Edge modes for flexural waves in quasi-periodic linear arrays of scatterers
- Elastic Lattices Inspired by Ulam-Warburton Cellular Automaton
- Small-World Disordered Lattices: Spectral Gaps and Diffusive Transport