Realization of a Topological Phase Transition in a Gyroscopic Lattice

Abstract

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological phase transition in real time could enable the use of protected waves for information storage and readout. Here we dynamically tune through a topological phase transition by breaking inversion symmetry in a metamaterial composed of interacting gyroscopes. Through the transition, we track the divergence of the edge modes' localization length and the change in Chern number characterizing the topology of the material's band structure. This work provides a new axis with which to tune the response of mechanical topological metamaterials.

arXiv comment5 pages, 4 figures

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Cited by in corpus (16)

• Odd Viscosity and Odd Elasticity
• Non-Hermitian band topology and skin modes in active elastic media
• Topological defects in solids with odd elasticity
• Non-Hermitian Topological Metamaterials with Odd Elasticity
• Inverse Design of Discrete Mechanical Metamaterials
• Switchable phonon diodes using nonlinear topological Maxwell lattices
• Tunable Band Topology in Gyroscopic Lattices
• The role of nonlinearities in topological protection: using magnetically coupled fidget spinners
• Origin and localization of topological band gaps in gyroscopic metamaterials
• Photonic Realization of a Transition Between Topological Phases Residing in the Weak and Strong Floquet Driving Regimes
• Chiral Edge Currents for ac Driven Skyrmions in Confined Pinning Geometries
• Rayleigh waves and cyclotron surface modes of gyroscopic metamaterials
• Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array
• Model studies of topological phase transitions in materials with two types of magnetic atoms
• Chiral topological phases in designed mechanical networks
• Topological defect states in elastic phononic plates