Non-vanishing Anomalous Hall effect in Compensated Ferrimagnet Mn3Al

Abstract

It is believed that anomalous Hall effect (AHE) vanishes without magnetization. But in recent studies, AHE is reported in antiferromagnets(AFMs) in vanishing magnetization. In this study, AHE of compensated ferrimagnet Mn3Al is inves- tigated using density functional theory (DFT). Anomalous Hall conductivity of Mn3Al is about 700 S/cm, comparable to 751 S/cm of Fe. In first chapter, density functional theory (DFT) is summarized with section on pre-DFT and DFT, and exchange-correlation energy from homogeneous electron gas. In second chapter, AHE is outlined with historical overview, from Edwin H. Hall to recent studies. Non-vanishing AHE without magnetization follows. In third chapter, we present basic properties of Mn3Al using density of states (DOS) and band structure. At last, AHE of Mn3Al is discussed with Berry curvature analysis. Also we predict that Fermi level shift can give anomalous Hall conductivity change due to change of band occupancy.