We study the collective dynamics of the Skyrmion crystal (SkX) in thin films of ferromagnetic metals resulting from the nontrivial Skyrmion topology. We show that the current-driven motion of the crystal reduces the topological Hall effect and the Skyrmion trajectories bend away from the direction of the electric current (the Skyrmion Hall effect). We find a new dissipation mechanism in non-collinear spin textures that can lead to a much faster spin relaxation than Gilbert damping, calculate the dispersion of phonons in the SkX, and discuss effects of impurity pinning of Skyrmions.
@article{arxiv.1102.5384,
title = {Dynamics of Skyrmion Crystals in Metallic Thin Films},
author = {Jiadong Zang and Maxim Mostovoy and Jung Hoon Han and Naoto Nagaosa},
journal= {arXiv preprint arXiv:1102.5384},
year = {2015}
}