Magnetic skyrmions are smooth topological textures of the magnetization that are localized within a two-dimensional plane. They arise in magnetic systems that lack inversion symmetry where they are stabilized by the Dzyaloshinskii-Moriya interaction. In bulk materials, magnetic skyrmions extend in the third direction forming an effective string. Such skyrmion strings either arise as excitations or they condense and form a crystal. These strings can be dynamically excited resulting in various vibrational modes.
I will provide an overview of the dynamics of skrymion strings , that can be found in chiral magnets like MnSi or FeGe, and I’ll compare theoretical predictions with magnetic resonance spectroscopy , spin-wave spectroscopy , inelastic neutron scattering  and Brillouin light scattering . At high energies, the spin-wave dynamics is governed by an emergent orbital magnetic field that is directly linked to the topological density of the skyrmions. As a result, magnon Landau levels emerge in skyrmion crystals. At low energies the dynamics is determined by an effective elasticity theory of the strings. I show that a single string supports non-linear solitary waves  similar to vortex filaments in fluids.
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