Three-dimensional static vortex solitons in incommensurate magnetic crystals

@article{Borisov2010ThreedimensionalSV,
  title={Three-dimensional static vortex solitons in incommensurate magnetic crystals},
  author={Alexander B. Borisov and Filipp N. Rybakov},
  journal={Low Temperature Physics},
  year={2010},
  volume={36},
  pages={766-771}
}
A new type of three-dimensional magnetic soliton in easy-axis ferromagnets is predicted by taking simultaneous account of the Dzyaloshinsky-Moriya interaction and an external magnetic field. The numerically obtained static three-dimensional solitons with a finite energy are characterized by a Hopf topological index H=0 and have a vortex structure. The structure of these solitons and the dependence of their energy on the external field are determined. The asymptotic behavior of these solitons is… 
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