Solitary wave excitations of skyrmion strings in chiral magnets

Abstract

Chiral magnets possess topological line excitations where the magnetization within each cross section forms a skyrmion texture. We study analytically and numerically the low-energy, non-linear dynamics of such a skyrmion string in a field-polarized cubic chiral magnet, and we demonstrate that it supports solitary waves. Theses waves are in general non-reciprocal, i.e., their properties depend on the sign of their velocity $v$, but this non-reciprocity diminishes with decreasing $|v|$. An effective field-theoretical description of the solitary waves is derived that is valid in the limit $v\to 0$ and gives access to their profiles and their existence regime. Our analytical results are quantitatively confirmed with micromagnetic simulations for parameters appropriate for the chiral magnet FeGe. Similarities with solitary waves found in vortex filaments of fluids are pointed out.

5 pages, 4 figures and supplementary information including 3 movies

References in corpus (10)

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Cited by in corpus (9)

• Propagating spin excitations along skyrmion strings
• Low-Energy Excitations of Skyrmion Crystals in a Centrosymmetric Kondo-Lattice Magnet: Decoupled Spin-Charge Excitations and Nonreciprocity
• Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport
• Bifurcation of a Topological Skyrmion String
• Thermal Stability of Skyrmion Tubes in Nanostructured Cuboids
• Nonlinear dynamics of skyrmion strings
• Instability of magnetic skyrmion strings induced by longitudinal spin currents
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets
• Stacking-dependent nonreciprocal transport in magnetic skyrmions