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Two-dimensional topological solitons in small exchange-dominated cylindrical ferromagnetic particles

Konstantin L. Metlov
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Abstract

A general approach allowing to construct the magnetization distributions of arbitrary topological charge in small exchange-dominated cylindrical ferromagnetic particles is presented. The exchange energy functional is minimized by these distributions exactly. The magnetostatic energy is accounted partially, so that it facilitates a choice between the topologically equivalent exchange-only solutions. The resulting magnetization distributions can be easily generalized to a variety of non-circular cylindrical shapes by means of a conformal transformation. As an example a magnetic structures of a thin circular ferromagnetic cylinder both with centered and displaced magnetic vortex and of a finite Bloch domain wall in an elongated particle is given.

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Konstantin L. Metlov. 2000-12-08. Two-dimensional topological solitons in small exchange-dominated cylindrical ferromagnetic particles. https://arxiv.org/abs/cond-mat/0012146

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