Three-dimensional static vortex solitons in incommensurate magnetic crystals
A.B. Borisov and F.N. Rybakov
Institute of Metal Physics , S. Kovalevskoyi st. 18, Ekaterinburg 620990, Russia
Received December 29, 2009, revised March 4, 2010
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.