Enhanced anomalous Hall conductivity via Ga doping in Mn₃Sn and Mn₃Ge

This study examines the anomalous Hall effect (AHE) in the Heusler series Mn₃Z (Z=Ga, Ge, Sn), with a particular emphasis on the manipulation of noncollinear antiferromagnetic structures to enhance the AHE. By employing density-functional theory and first-principles calculations, we demonstrate that the anomalous Hall conductivity is markedly responsive to electron filling. By strategically doping Ga into Mn₃Sn and Mn₃Ge in order to modulate the electron density, a significant increase in anomalous Hall conductivity (AHC) is achieved. It is noteworthy that a Ga:Sn ratio of 1:5 yields peak AHC values exceeding 700 (Ωcm)⁻¹, while 3:7 Ga-Ge ratios can result in AHC values surpassing 600 (Ωcm)⁻¹. A comparison between the virtual crystal approximation and supercell construction methods for doping has revealed consistent trends. The results of this study pave the way for optimizing the AHE in noncollinear antiferromagnetic materials.