Scaling of the Anomalous Hall Effect in Ferrimagnetic Co90Gd10 Thin Films

We investigated the anomalous Hall effect and longitudinal magnetoresistance in ferrimagnetic Co₉₀Gd₁₀ thin films with thicknesses from 5 to 35 nm and temperatures from 80 to 300 K. As the temperature increases from 80 to 300 K, the saturation magnetization of Co₉₀Gd₁₀ increases from 720 to 844 emu/cm³. However, the scaling law σ_xy-σ_xxⁿ with n = 2.3 holds surprisingly well. Our results indicate that the scaling law usually reported in ferromagnetic materials remains valid for ferrimagnetic materials, which undoubtedly suggested the universality of the scaling law.