We have carried out magnetotransport measurements of the bipolar conductor YHx () employing the ferromagnetic conductor Co as the source and drain electrodes, from which the spin-polarized currents are injected. Both the Hall resistivity (HR) and transverse magnetoresistivity (TMR) ratio are enhanced by a factor of ∼3 and ∼6, respectively, when Co electrodes are used instead of Au electrodes. We derived two types of closed formulae of HR and TMR, the first (second) type of which was derived by simultaneously (independently) considering the external magnetic field and spin–orbit interaction, but both types of which were derived by considering spin-dependent electrochemical potential caused by the presence of the ferromagnetic electrodes. Carrier parameter assessments based on the two types of formulae as well as the two types of electrode samples enable us to infer that coupling mechanisms between the external magnetic field and spin–orbit interaction are required for the precise interpretation of HR and TMR measured in the simultaneous presence of magnetic field and spin splitting in a diffusion force field, especially for conductors with strong spin–orbit interaction.

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