Two-dimensional topological solitons in soft ferromagnetic cylinders

Details Two-dimensional topological solitons in soft ferromagnetic cylinders Two-dimensional topological solitons in soft ferromagnetic cylinders

2001-02-16

arxiv.org/abs/cond-mat/0102311v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

3 pages, 2 figures, RevTeX 3 pages, 2 figures, RevTex (evaluated the integral (4) and added the equivalent formula (5), minor

Scientific paper

A simple approach allowing to construct closed-form analytical zero-field magnetization distributions in cylindrical particles of a small thickness and an arbitrary shape (not necessarily circular) is presented. The approach is based on reduction of the non-linear Euler equations for magnetization vector field to the classical linear Riemann-Hilbert problem. The result contains all the distributions minimizing the exchange energy functional and the surface magnetostatic contribution exactly, except for the neighbourhood of topological singularities on the cylinder faces where the result is approximate. The completeness of the analysis permitted to find a new type of a topological soliton in the case of circular cylinder. Also, an example of magnetic vortex in a triangular cylinder is given to investigate the role of the particle corners.

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