Large anomalous Hall effect induced by skew scattering in the hexagonal ferromagnet PrCrGe3

The anomalous Hall effect (AHE) generated by the extrinsic mechanism has attracted growing attention recently due to the potential to achieve colossal Hall response. Here, we report the magnetic and electrical transport properties of the hexagonal ferromagnet $\mathrm{PrCrG}{\mathrm{e}}_{3}$ single crystal. $\mathrm{PrCrG}{\mathrm{e}}_{3}$ undergoes the ferromagnetic transition at ${T}_{\mathrm{C}}\ensuremath{\sim}80$ K with the Pr and Cr moments lying in the $ab$ plane. The spin reorientation transition happens at ${T}_{\mathrm{SR}}\ensuremath{\sim}11$ K, with the direction of Cr moments shifting from the $ab$ plane to the $c$ axis. The relationship between longitudinal resistivity and temperature has a linear behavior in $20\ensuremath{-}80$ K due to strong phonon scattering. Large positive and unsaturated linear magnetoresistance is observed at low temperature, which is attributed to Lorentz force derived by applied field hindering the movement of the carriers. Hall results reveal that the majority carriers change from electrons to holes around ${T}_{\mathrm{C}}$, which may be ascribed to temperature-induced Lifshitz transition. Moreover, large AHE is obtained in $\mathrm{PrCrG}{\mathrm{e}}_{3}$, and scaling relation analysis proves that skew-scattering mechanism is predominant. Meanwhile, electron-phonon scattering plays a crucial role in the skew-scattering mechanism and becomes dominant above 20 K. Our results suggest $\mathrm{PrCrG}{\mathrm{e}}_{3}$ to be an excellent platform to study the extrinsic AHE mechanism.