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We studied magnetic vortex oscillations associated with vortex gyrotropicmotion driven by spin-polarized out-of-plane dc current by analytical andmicromagnetic numerical calculations. Reliable controls of the tunableeigenfrequency and orbital amplitude of persistent vortex oscillations weredemonstrated. This work provides an advanced step towards the practicalapplication of vortex oscillations to persistent vortex oscillators in a widefrequency (f) range of 10 to 2000 MHz and with high values of f/(delta f).

physical review. b, condensed matter and materials physics

Quantitative understanding of magnetic vortex oscillations driven by  spin-polarized out-of-plane dc current: Analytical and micromagnetic  numerical study