Scaling analysis of anomalous Hall resistivity in the Co₂TiAl Heusler alloy

A comprehensive magnetotransport study including resistivity (ρ _xx), isothermal magnetoresistance, Hall resistivity (ρ _xy) and magnetization have been carried out at different temperatures on the Co₂TiAl Heusler alloy. Co₂TiAl alloy shows a paramagnetic to ferromagnetic (FM) transition below the Curie temperature (T _C) ∼ 125 K. In the FM region, resistivity and magnetoresistance reveal a spin flip electron–magnon scattering and the Hall resistivity unveils the anomalous Hall resistivity. Scaling of anomalous Hall resistivity with resistivity establishes the extrinsic scattering process responsible for the anomalous Hall resistivity; however skew scattering is the dominant mechanism compared to the side-jump contribution. A one to one correspondence between magnetoresistance and side-jump contribution to anomalous Hall resistivity verifies the electron–magnon scattering being the source of side-jump contribution to the anomalous Hall resistivity. (paper)