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The development of future spintronic applications requires a thorough andfundamental understanding of the magnetisation dynamics. Of particular interestare magnetic nanodisks, in which the vortex state emerges as a stable spinconfiguration. Here, we focus on how the vortex core polarisation can bereversed periodically by an oscillating magnetic field, applied perpendicularlyto the disk's surface. By means of micromagnetic simulations, we demonstratethe presence of several subharmonic switching modes, i.e., the commensurateratio between the switching frequency of the core and the driving frequency.The underlying mechanism of this periodic behaviour depends on the diskthickness. For thin disks, the core switches periodically due to resonantexcitation of radial spin wave modes, while it is due to the breathing mode inthe case of thick disks. However, overlap of both modes impedes periodic vortexcore switching. For thin disks, the threshold field amplitude required forperiodic switching can be lowered to about 30~mT by increasing the diskdiameter. For thick disks, in contrast, the minimal field is largely unaffectedby the disk diameter, as only the energy density of a central region around thevortex core is relevant to excite the breathing mode. Our results contribute tothe understanding of the switching mechanisms in magnetic nanodisks, which areof technological interest due to their potential in non-volatile memorydevices.

Commensurate vortex core switching in magnetic nanodisks at Gigahertz frequencies