Chiral magnetic skyrmions across length scales

The profile, radius, and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii–Moriya (DM) interaction and easy-axis anisotropy perpendicular to the film, have been previously calculated in the asymptotic limits of small and large skyrmion radius, as functions of the model...

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Bibliographic Details
Published in:New journal of physics 2023-02, Vol.25 (2), p.23013
Main Authors: Komineas, Stavros, Melcher, Christof, Venakides, Stephanos
Format: Article
Language:English
Subjects:
Anisotropy
Applied mathematics
Approximation
asymptotic analysis
Asymptotic properties
Energy
Hypothetical particles
Magnetic materials
Magnetostatic fields
Particle theory
Physics
skyrmion energy
skyrmion profile
skyrmions
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Summary:The profile, radius, and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii–Moriya (DM) interaction and easy-axis anisotropy perpendicular to the film, have been previously calculated in the asymptotic limits of small and large skyrmion radius, as functions of the model parameter. We extend the asymptotic analysis to the case of an external field or a combination of anisotropy and external field. The formulae for the skyrmion radius and energy are then modified, by the use of fitting techniques, into very good approximations through almost the entire range of skyrmion radii, from zero to infinity. We include a study of the effect of the magnetostatic field on the skyrmion profile in two cases. We compare the profile of magnetic bubbles, stabilized without the chiral DM interaction to that of a chiral skyrmion.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/acb6e6