Interfacial waveforms in chiral lattices with gyroscopic spinners

TL;DR

This paper introduces a method to create topologically protected interfacial waveforms in chiral lattices with gyroscopic spinners, enabling control over wave direction and band structure in engineered materials.

Contribution

It presents a novel approach to induce topological states in discrete lattices using gyroscopic spinners, allowing manipulation of wave propagation and band features.

Findings

Tuning spinner parameters controls stop-bands and Dirac points.

Uni-directional interfacial waveforms can be generated and directed.

Adding internal links creates heterogeneous lattices with topological properties.

Abstract

We demonstrate a new method of achieving topologically protected states in a discrete hexagonal lattice by attaching gyroscopic spinners, which bring chirality to the system. Dispersive features of this medium are investigated in detail and, by tuning the parameters of the spinners, it is shown one can manipulate the locations of stop-bands and Dirac points. We show that in proximity of such points, uni-directional interfacial waveforms can be created in an inhomogeneous lattice and the direction of such waveforms can be controlled. The effect of inserting additional internal links into the system, which is thus transformed in a heterogeneous triangular lattice, is also investigated. This work introduces a new perspective in the design of periodic media possessing non-trivial topological features.