Finite-Frequency Topological Maxwell Modes in Mechanical Self-Dual Kagome Lattices

Abstract

In this Letter, an elastic twisted kagome lattice at a critical twist angle, called self-dual kagome lattice, is shown to exhibit peculiar finite-frequency topological modes which emerge when certain conditions are satisfied. These states are topologically reminiscent to the zero energy (floppy) modes of Maxwell lattices but they occur at a finite frequency in the band gap of self-dual kagome lattice. Thus, we present a completely new class of topological modes which share similarities with both the zero frequency floppy modes in Maxwell lattices and the finite energy in-gap modes in topological insulators. We envision the presented mathematical and numerical framework to be invaluable for many technological advances pertaining to wave phenomenon such as reconfigurable waveguide designs.

arXiv comment5 pages main article, 5 pages supplemental material

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Cited by in corpus (8)

• Non-Local Phononic Crystals for Dispersion Customization and Undulation-point Dynamics
• Duality of Topological Edge States in a Mechanical Kitaev Chain
• Strain topological metamaterials
• Dynamics of self-dual kagome metamaterials and the emergence of fragile topology
• Fully-Polarized Topological Isostatic Metamaterials in Three Dimensions
• Omnidirectional domain wall modes protected by fragile topological states
• Edge States with Hidden Topology in Spinner Lattices
• 3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies