Modulated and Localized Structures in Magnetic Nanostructures

In magnetic nanostructures reduced dimensionality and complex interactions on surfaces and interfaces break chiral symmetry and induce anisotropic (Dzyaloshinsky-Moriya) exchange coupling. These surface-induced chiral interactions may stabilize modulated and multidimensional localized structures which are generally unstable in bulk magnetic materials. We derive micromagnetic equations to calculate magnetic patterns in the nanostructures with induced chiral interactions. Within this theory solutions for isolated magnetic vortices have been obtained. These intrinsically stable nanoscale magnetic patterns existing even in zero field are much smaller than well-known magnetic bubbles and may be used in magnetic storage technologies