Piezostrain -- a local handle to control gyrotropic dynamics in magnetic vortices

We present a study of the piezostrain-tunable gyrotropic dynamics in Co$_{40}$Fe$_{40}$B$_{20}$ vortex microstructures fabricated on a 0.7PMN-0.3PT single crystalline substrate. Using field-modulated spin rectification measurements, we demonstrate large frequency tunability (up to 45 %) in individual microdisks accessed locally with low surface voltages, and magnetoresistive readout. With increased voltage applied to the PMN-PT, we observe a gradual decrease of the vortex core gyrotropic frequency associated with the strain-induced magnetoelastic energy contribution. The frequency tunability strongly depends on the disk size, with increased frequency downshift for the disks with larger diameter. Micromagnetic simulations suggest that the observed size effects originate from the joint action of the strain-induced magnetoelastic and demagnetizing energies in large magnetic disks. These results enable a selective energy-efficient tuning of the vortex gyrotropic frequency in individual vortex-based oscillators with all-electrical operation.