Control of the nonlinear frequency shift for the spin-transfer nano-oscillator using a bias magnetic field

We investigated the possibilities of controlling the nonlinear frequency shift of the magnetization oscillations in a spin -transfer nano -oscillator by varying the magnitude and direction of the bias magnetic field. We considered both isotropic ferromagnetic materials and crystals with uniaxial and cubic crystallographic anisotropies. We have shown that achieving a zero nonlinear frequency shift is possible with a certain orientation of the bias magnetic field vector. The results of the theoretical analysis based on the method of Hamiltonian formalism are in good agreement with the micromagnetic simulations. Our research reveals the way to control the frequency tuning of a spin transfer nano -oscillator, which is crucial for spintronic signal generation devices.