Vortex statics and dynamics in anisotropic and/or magnetic superconductors.

Overview & Synopsis

Recently, the studies of the properties of Abrikosov vortices in strongly anisotropicand magnetic media have been stimulated by the discovery of the iron-based andferromagnetic superconductors. In this thesis an analysis of vortex statics anddynamics in such systems has been carried out. Firstly, the problem of vortex pinningon a small defect has been considered. Within the Ginzburg-Landau theory thepinning potential for a cavity in the form of an elliptical cylinder has been derived.Secondly, the flux-flow conductivity of an anisotropic superconductor has beenanalyzed in detail within the time-dependent Ginzburg-Landau theory.A significant part of the thesis is devoted to the study of interplay between spinwaves (magnons) and vortices in ferromagnetic superconductors. We havedemonstrated that the magnon spectrum acquires a Bloch-like band structure in thepresence of an ideal vortex lattice. Using the phenomenological London and Landau-Lifshitz-Gilbert equations, we studied the ac and dc responses of vortices inferromagnetic superconductors. Finally, we investigated the vortex state insuperconductor-ferromagnet (FS) hybrid structures (e. g., FS superlattices) withstrong spatial dispersion of the magnetic susceptibility. In such systems thesuperconducting electrodynamics may be strongly nonlocal, which leads to theattraction of vortices and to a first order phase transition at the lower critical field.