Demonstrating an in-situ topological band transition in cylindrical granular chains

Abstract

We numerically investigate and experimentally demonstrate an in-situ topological band transition in a highly tunable mechanical system made of cylindrical granular particles. This system allows us to tune its inter-particle stiffness in a controllable way, simply by changing the contact angles between the cylinders. The spatial variation of particles' stiffness results in an in-situ transition of the system's topology. This manifests as the emergence of a boundary mode in the finite system, which we observe experimentally via laser Doppler vibrometry. When two topologically different systems are placed adjacently, we analytically predict and computationally and experimentally demonstrate the existence of a finite-frequency topologically protected mode at their interface.

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Cited by in corpus (36)

• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
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• Observation of topological valley modes in an elastic hexagonal lattice
• Topological Fano Resonances
• Subwavelength and directional control of flexural waves in zone-folding induced topological plates
• Experimental demonstration of topological waveguiding in elastic plates with local resonators
• Amplitude-dependent topological edge states in nonlinear phononic lattices
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Experimental Realization of a Reconfigurable Electroacoustic Topological Insulator
• Stability of topological edge states under strong nonlinear effects
• Edge Modes and Asymmetric Wave Transport in Topological Lattices: Experimental Characterization at Finite Frequencies
• Topological phases, edge modes, and the Hofstadter butterfly in coupled Su-Schrieffer-Heeger systems
• Flat bands in magic-angle vibrating plates
• Self-induced topological transition in phononic crystals by nonlinearity management
• Dial-in Topological Metamaterials Based on Bistable Stewart Platform
• Topologically protected elastic waves in one-dimensional phononic crystals of continuous media
• Topological Protection in a Strongly Nonlinear Interface Lattice
• Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
• Uncovering and experimental realization of multimodal 3D topological metamaterials for low-frequency and multiband elastic wave control
• Breakdown of Conventional Winding Number Calculation in One-Dimensional Lattices with Interactions Beyond Nearest Neighbors
• Material vs. structure: Topological origins of band-gap truncation resonances in periodic structures
• Effective Phononic Crystals for Non-Cartesian Elastic Wave Propagation
• Design of GaAs-based valley phononic crystals with multiple complete phononic bandgaps at ultra-high frequency
• Topological inheritance in half-SSH Hubbard models
• Duality of Topological Edge States in a Mechanical Kitaev Chain
• Strain topological metamaterials
• Topological soliton-polaritons in 1D systems of light and fermionic matter
• Topological band structure of surface acoustic waves on a periodically corrugated surface
• Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
• Nonlinearity and Topology
• Dispersive wave propagation in disordered flexible fibers enhances stress attenuation
• Quantum dot coupled to topological insulators: The role of edge states
• Elastic Wannier-Stark Ladders and Bloch Oscillations in 1D Granular Crystals
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Embedding 1D BDI topological dynamics into continuous elastic plates