Sheka D. Dynamics of two-dimensional magnetic solitons

The thesis is devoted to the theoretical study of the soliton-magnon interaction problem in different types of two-dimensional Heisenberg magnets, the dynamics of solitons and vortices in Heisenberg magnets and nanomagnets. In nonrelativistic quantum scattering theory the Levinson theorem is generalized for 2D potentials with inverse square singularities. It is established that the magnon scattering on a topological magnetic soliton in 2D is an Aharonov-Bohm scattering process. There are predicted truly local modes for the precessional soliton of large enough radii in 2D easy-axis ferromagnet.The existence of the limit cycle is predicted for the nonplanar vortex dynamics in the Heisenberg easy-plane ferromagnet under the influence of a rotating in-plane magnetic field. A detailed study of the ground state of ferromagnetic nanorings. Methods of fast switching the vortex polarity and chirality in a magnetic nanodisk by applying a field pulse is proposed. The spin-torque effect is investigated for the vortex state of a magnetic nanodot.