Topological Phononic Crystals with One-Way Elastic Edge Waves

Abstract

We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to break the time-reversal symmetry and realize the phononic analogue of the electronic quantum Hall effect. We investigate the response of both hexagonal and square gyroscopic lattices and observe bulk Chern number of 1 and 2, indicating that these structures support single and multi-mode edge elastic waves immune to back-scattering. These robust one-way phononic waveguides could potentially lead to the design of a novel class of surface wave devices that are widely used in electronics, telecommunication and acoustic imaging.

References in corpus (8)

• Topological Photonics
• Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
• Topological Acoustics
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Topological modes bound to dislocations in mechanical metamaterials
• Topological Nature of the Phonon Hall Effect
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• Nonlinear conduction via solitons in a topological mechanical insulator

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