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Defects introduced in ferromagnetic nanodisks may deeply affect the structureand dynamics of stable vortex-like magnetization. Here, analytical techniquesare used for studying, among other dynamical aspects, how a small cylindricalcavity modify the oscillatory modes of the vortex. For instance, we haverealized that if the vortex is nucleated out from the hole its gyrotropicfrequencies are shifted below. Modifications become even more pronounced whenthe vortex core is partially or completely captured by the hole. In thesecases, the gyrovector can be partially or completely suppressed, so that theassociated frequencies increase considerably, say, from some times to severalpowers. Possible relevance of our results for understanding other aspects ofvortex dynamics in the presence of cavities and/or structural defects are alsodiscussed.

How hole defects modify vortex dynamics in ferromagnetic nanodisks