Very peculiar properties of kinks in a driven damped anisotropic spin chain

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Abstract
The motion of kink solitons in a classical Heisenberg chain with a composite anisotropy (an easy-magnetization-plane anisotropy with an additional easy-magnetization axis along that plane) is studied. Both the Gilbert damping and a spatially uniform external field applied along the easy axis are taken into account. For applied fields lower than a certain critical value the velocity of the kink is constant and its magnitude results from a balance between the external field and the damping. For fields larger than critical the motion of the kink is a nontrivial superposition of the forward translational and of the oscillatory motions. The special case of large anisotropy is analyzed in detail. The effect of damping and of the external field on the motion of the kink is discussed.