Three-dimensional static vortex solitons in incommensurate magnetic   crystals
  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 investigated and a necessary condition for their existence is found. 
A. B. Borisov and F. N. Rybakov
cond-mat.str-el cond-mat.other