# Chiral edge mode in the coupled dynamics of magnetic solitons in a honeycomb lattice

## TL;DR

This paper theoretically demonstrates that magnetic soliton lattices in a honeycomb arrangement can support reprogrammable chiral edge modes, akin to topological electronic systems, with controllable directionality via external stimuli.

## Contribution

It introduces a topological model for magnetic soliton lattices supporting chiral edge modes, extending topological concepts to magnetic soliton dynamics.

## Key findings

- Support for chiral edge modes in magnetic soliton lattices
- Edge mode direction controlled by external fields or lattice distortion
- Magnetic soliton lattices as reprogrammable topological metamaterials

## Abstract

Motivated by a recent experimental demonstration of a chiral edge mode in an array of spinning gyroscopes, we theoretically study the coupled gyration modes of topological magnetic solitons, vortices and magnetic bubbles, arranged as a honeycomb lattice. The soliton lattice under suitable conditions is shown to support a chiral edge mode like its mechanical analogue, the existence of which can be understood by mapping the system to the Haldane model for an electronic system. The direction of the chiral edge mode is associated with the topological charge of the constituent solitons, which can be manipulated by an external field or by an electric-current pulse. The direction can also be controlled by distorting the honeycomb lattice. Our results indicate that the lattices of magnetic solitons can serve as reprogrammable topological metamaterials.