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Dynamic Origin of Azimuthal Modes Splitting in Vortex-State Magnetic Dots
Guslienko, Konstantin Y.,Slavin, Andrei N.,Tiberkevich, Vasyl,Kim, Sang-Koog American Physical Society 2008 Physical Review Letters Vol.101 No.24
<P>A spin-wave theory explaining experimentally observed frequency splitting of dynamical spin excitations with azimuthal symmetry of a magnetic dot in a vortex ground state is developed. It is shown that this splitting is a result of the dipolar hybridization of three spin-wave modes of a dot having azimuthal indices |m|=1: two high-frequency azimuthal dipolar modes of the in-plane part of the vortex with indices m = +/-1 and a low-frequency (Goldstone-like) gyrotropic mode, describing translational motion of the vortex core and having index m = +1. The analytically calculated magnitude of the frequency splitting is proportional to the ratio of the dot thickness to its radius and quantitatively agrees with the results of time-resolved Kerr experiments.</P>
Magnetic Vortices and Skyrmions
Konstantin Y. Guslienko 한국자기학회 2019 Journal of Magnetics Vol.24 No.4
Recent advances in the research area of 2D magnetic topological solitons (vortices and skyrmions) in restricted geometries are reviewed. The description of the solitons is based on macroscopic micromagnetic approach and the Landau-Lifshitz equation of the magnetization motion. The vortex/skyrmion stability, energy barriers, gyrotropic and spin wave excitation modes in thin ferromagnetic films and dots are considered.