Beyond Germanides: Anomalous Hall Effect in the Silicide LaMn2Si2

By combining symmetry analysis and direct density functional calculations including the spin-orbit coupling, we demonstrate that anomalous Hall effect can be observed in not only germanides with general formula RMn${}_2$Ge${}_2$, where $R$ is a rare-earth ion or Y. Our calculations predict a large anomalous Hall conductivity in LaMn${}_2$Si${}_2$, with a non-zero ${\sigma }_{xy}^{AH}$ component of $-360\text{ S/cm}$, accompanied by a pronounced magneto-optical response. Remarkably, electron doping of LaMn${}_2$Si${}_2$ is expected to substantially enhance the Hall conductivity, with values reaching up to -650 S/cm. These results suggest that silicides with general formula RM${}_2$Si${}_2$ can be an interesting platform for studying anomalous Hall effect.