  Magnetic skyrmions are emerging as key elements of unconventional operations
having unique properties such as small size and low current manipulation. In
particular, it is possible to design skyrmion-based neurons and synapses for
neuromorphic computing in devices where skyrmions move along the current
direction (zero skyrmion Hall angle). Here, we show that, for a given graph,
skyrmions can be used in optimization problems facing the calculation of the
shortest path. Our tests show a solution with the same path length as computed
with Algorithm. In addition, we also discuss how skyrmions act as positive
feedback on this type of problem giving rise to a self-reinforcement of the
path which is a possible solution.

Mesoscale and Nanoscale Physics