Current-driven ferromagnetic resonance in magnetic trilayers with a tilted spin polarizer

We theoretically investigate the current-excited and adjusted ferromagnetic resonance in magnetic trilayers with a tilted spin polarizer. The current- and frequency-swept resonant spectra are obtained by the linearization method. We find that the precessional frequency, the equilibrium position, the energy pumping and damping, and the resonant linewidth and location can be adjusted by changing the current and the magnetization in the pinned layer. By optimizing the current density and the direction of the pinned magnetization, the energy pumping will be more efficient.