Stress-induced modification of gyration dynamics in stacked double-vortex structures studied by micromagnetic simulations

In this paper, using micromagnetic simulations, we investigate the stress-induced frequency tunability of double-vortex nano-oscillators comprising magnetostrictive and non-magnetostrictive ferromagnetic layers separated vertically by a non-magnetic spacer. We show that relative orientations vortex core polarities $p_{1}$ $p_{2}$ have strong impact on eigen-frequencies dynamic modes. When two vortices with antiparallel different magnetostatic coupling between them is sufficiently strong, magnetoelastic anisotropy can lead to single-frequency gyration mode cores. Additionally, for case parallel polarities, demonstrate coupling, leads coupled in stochastic regime lateral separation trajectories. These findings offer fine control over frequencies trajectories vortex-based oscillators via adjustable elastic stress, which be easily generated tuned electrically, mechanically or optically.