  The spin-diode effect is studied both experimentally and with our original
semi-analytical method. The latter is based on an improved version of the
Thiele equation approach (TEA) that we combine to micromagnetic simulation data
to accurately model the non-linear dynamics of spin-torque vortex oscillator
(STVO). This original method, called data-driven Thiele equation approach
(DD-TEA), absorbs the difference between the analytical model and micromagnetic
simulations to provide a both ultra-fast and quantitative model. The DD-TEA
model predictions also agree very well with the experimental data. The reversal
of the spin-diode effect with the chirality of the vortex, the impact of the
input current and the origin of a variation at half of the STVO frequency are
presented as well as the ability of the model to reproduce the experimental
behavior. Finally, the spin-diode effect and its simulation using the DD-TEA
model are discussed as a promising perspective in the framework of neuromorphic
computing.
