Ab-initio study of anomalous Hall and Nernst effects in equiatomic quaternary heusler alloy CoFeVGe

First-principles calculations were performed to investigate the electronic, magnetic, and topological properties of the nearly half-metallic ferromagnetic Heusler alloy CoFeVGe. The compound was found to exhibit mechanical and dynamical stability. We conducted a comprehensive study of the anomalous Hall and Nernst effects, attributed to Berry curvature induced by spin-orbit coupling (SOC). The maximum anomalous Hall conductivity (AHC) and anomalous Nernst conductivity (ANC) were determined to be -340.2S/m and -1.26Am-1 K-1 at 300 K, respectively, within an energy window of +/- 300meV around the Fermi level EF. The temperature and chemical potential dependence of the anomalous Nernst conductivity was also explored. The Curie temperature (Tc), estimated using mean-field approximation and magnetic Heisenberg exchange interactions, was found to be 489.3K. Additionally, magneto-optical Kerr effect calculations yielded a maximum polar Kerr angle of 0.19 degrees. Our results suggest that CoFeVGe is a promising candidate for spintronic and magneto-optical applications.