  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.
