Frequencies of Radially Symmetric Excitations in Vortex State Disks

Submicron ferromagnetic disks with a vortex ground state exhibit interesting and potentially useful dynamic properties arising from excitations on the ground state. In particular, a magnetic pulse applied perpendicular to the vortex plane will excite radially symmetric modes. Previous calculations of the frequencies of these modes based on the linearized Landau-Lifschitz equation and the magnetostatic Green´s function give eigenfrequencies proportional to the square root of the aspect ratio radic(L/R), where L is the disk thickness and R is the disk radius. However, experimental frequency data show significant deviation from the square root dependence. An improved calculation of the frequency is done through a collective variable approach by exploiting the high symmetry of these modes. In the linear approximation, this approach gives the main contribution to the frequency proportional to radic((L/R)ln(R/L)), which is closer to the observed aspect ratio dependence.