Fig. 5: The impact of the effective gyrotropic force on the diffusion coefficient and depinning energy of the systems.

a The averaged-size dependence of the diffusion coefficient at a fixed temperature. The color code used is consistent with Fig. 2a. The skyrmion size was controlled by an out-of-plane magnetic field. The dashed line and shaded area represent the error-weighted linear fit, and the 95% confidence band calculated from the fit, respectively. b The dependence of the \({D}_{0}/{D}_{0}^{{{\mbox{FM}}}}\) ratio on the compensation, where \({D}_{0}^{{{\mbox{FM}}}}\) denotes the averaged \({D}_{0}\) for FM skyrmions in Fig. 5a. The value of \({D}_{0}\) is obtained by dividing the intercept by T to account for the temperature difference. The same symbols and color coding as in Fig. 5a are employed. The shaded area corresponds to the error bar, calculated using the standard deviation. The broken line displays the theoretical calculation based on Eq. (1), using the experimentally obtained parameters for the SyAFM system with 90%, 60%, and 0% (FM bi-layer) compensation, where Γ ~ 2R_sk.ave π² (8δ)⁻¹ based on ref. ¹¹.