The profile of chiral skyrmions of small radius

Abstract

Chiral skyrmions are stable particle-like solutions of the Landau-Lifshitz equation for ferromagnets with the Dzyaloshinskii-Moriya (DM) interaction, characterized by a topological number. We study the profile of an axially symmetric skyrmion and give exact formulas for the solution of the corresponding far-field and near-field equations, in the asymptotic limit of small DM parameter (alternatively large anisotropy). The matching of these two fields leads to a formula for the skyrmion radius as a function of the DM parameter. The derived solutions show the different length scales which are present in the skyrmion profiles. The picture is thus created of a chiral skyrmion that is born out of a Belavin-Polyakov solution with an infinitesimally small radius, as the DM parameter is increased from zero. The skyrmion retains the Belavin-Polyakov profile over and well-beyond the core before it assumes an exponential decay; the profile of an axially-symmetric Belavin-Polyakov solution of unit degree plays the role of the universal core profile of chiral skyrmions.

arXiv comment13 pages, 4 figures

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Cited by in corpus (13)

• A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree $\pm 1$ harmonic maps from ${\mathbb{R}}^2$ to ${\mathbb{S}}^2$
• Curvature induced drift and deformation of magnetic skyrmions: comparison of ferro- and antiferromagnetic cases
• Material systems for FM-/AFM-coupled skyrmions in Co/Pt-based multilayers
• Traveling skyrmions in chiral antiferromagnets
• A micromagnetic theory of skyrmion lifetime in ultrathin ferromagnetic films
• Skyrmion-antiskyrmion droplets in a chiral ferromagnet
• Meron configurations in easy-plane chiral magnets
• Chiral magnetic skyrmions across length scales
• Boundary conditions for the Néel order parameter in a chiral antiferromagnetic slab
• Lattice solutions in a Ginzburg-Landau model for a chiral magnet
• The relation between the radii and the densities of magnetic skyrmions
• Interaction and collision of skyrmions in chiral antiferromagnets
• Electron states, bound to a texture in a Néel antiferromagnet