Skyrmion dynamics in single-hole Néel ordered doped two-dimensional antiferromagnets with arbitrary spin

We develop an effective theory to study the skyrmion dynamics in the presence of a hole (removed spins from the lattice) in Néel ordered two-dimensional antiferromagnets with arbitrary spin value S. The general equation of motion for the “mass center” of this structure is obtained. The frequency of small amplitude oscillations of pinned skyrmions around the defect center is calculated. It is proportional to the hole size and inversely proportional to the square of the skyrmion size.