Three-dimensional static vortex solitons in incommensurate magnetic crystals

A new type of three-dimensional magnetic solitons in a uniaxial ferromagnet is predicted with a simultaneous account of Dzyaloshinsky–Moriya interaction and external magnetic field. The static threedimensional solitons of a finite energy obtained by the numerically method are characterized by topological Hopf index H = 0 and a vortex structure. The soliton structure and the dependence on external magnetic field of energy are found. The asymptotic behavior of these solitons is investigated and a necessary condition for their existence is found.

PACS: 05.45.Yv Solitons;
PACS: 75.10.Hk Classical spin models;
PACS: 75.60.Ch Domain walls and domain structure;
PACS: 11.27.+d Extended classical solutions.

Key words: soliton, Hopf invariant, vortex, Landau-Lifshitz equation, Dzyaloshinsky-Moriya interaction.

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