Abstract
The cubic chiral magnets form topological skyrmion textures due to the presence of the Dzyaloshinskii-Moriya interaction. We briefly review in this chapter the dynamics of these magnetic textures and their interaction with magnon and electron currents, which is fundamentally influenced by their topological origin. In particular, the effective Thiele equation of motion of the skyrmion is governed by a gyrotropic force that is proportional to its topological charge. Moreover, the continuity equation associated with the conservation of topological charge can be interpreted as the Maxwell-Faraday equation of an emergent electrodynamics. As a consequence, magnons as well as electron excitations experience, for example, a topological Hall effect as well as a skyrmion-flow Hall effect.
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Acknowledgments
I would like to thank the many people with whom I collaborated on the topic of this review, in particular, B. Binz, K. Everschor, P. Krautscheid, S. Schroeter, C. Schütte and the experimental groups of P. Böni, D. Grundler, and, especially, C. Pfleiderer. I am particularly grateful to A. Rosch for the collaboration and support over many years.
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Garst, M. (2016). Topological Skyrmion Dynamics in Chiral Magnets. In: Seidel, J. (eds) Topological Structures in Ferroic Materials. Springer Series in Materials Science, vol 228. Springer, Cham. https://doi.org/10.1007/978-3-319-25301-5_2
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