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.

5 pages and 3 figures

References in corpus (6)

• Thermally Driven Ratchet Motion of Skyrmion Microcrystal and Topological Magnon Hall Effect
• Magnon-skyrmion scattering in chiral magnets
• Electric field-induced Skyrmion distortion and giant lattice rotation in the magnetoelectric insulator Cu2OSeO3
• Néel-type skyrmion lattice in tetragonal polar magnet VOSe${}_2$O${}_5$
• Skyrmion robustness in non-centrosymmetric magnets with axial symmetry: The role of anisotropy and tilted magnetic fields
• Electric transport in three-dimensional Skyrmion/monopole crystal

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• Dynamic Excitations of Chiral Magnetic Textures
• 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
• 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