Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport

Abstract

Magnetic skyrmions in bulk crystals are line-like topologically protected spin textures. They allow for the propagation of magnons along the skyrmion line but are localized inside the skyrmion line. Analogous to the vortex line, these propagating modes are the Kelvin modes of a skyrmion line. In crystals without an inversion center, it is known that the magnon dispersion in the ferromagnetic state is asymmetric in the wavevector. It is natural to expect that the dispersion of the Kelvin modes is also asymmetric with respect to the wavevector. We study the Kelvin modes of a skyrmion line in the ferromagnetic background. In contrast, we find that the lowest Kelvin mode is symmetric in the wavevector in the low energy region despite the inversion symmetry breaking. Other Kelvin modes below the magnon continuum are asymmetric, and most of them have a positive group velocity. Our results suggest that a skyrmion line can function as a one-way waveguide for magnons.

arXiv comment5 pages and 3 figures

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Cited by in corpus (14)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Propagating spin excitations along skyrmion strings
• Coupled skyrmion breathing modes in synthetic ferri- and antiferromagnets
• Dynamic Excitations of Chiral Magnetic Textures
• Skyrmion Tubes as Magnonic Waveguides
• Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
• Dynamical Switching of Magnetic Topology in Microwave-Driven Itinerant Magnet
• Three-Dimensional Chiral Magnetization Structures in FeGe Nanospheres
• Solitary wave excitations of skyrmion strings in chiral magnets
• Polarized inelastic neutron scattering of non-reciprocal spin waves in MnSi
• Nonlinear dynamics of skyrmion strings
• Nonlinearity and Topology
• Instability of magnetic skyrmion strings induced by longitudinal spin currents
• Magnetic D-brane solitons: skyrmion strings ending on a Néel wall in chiral magnets