Exploring magnetic and topological properties of Eu₃InO: a rare-earth inverse perovskite

We present a comprehensive study of Eu₃InO, a compound with a cubic inverse perovskite structure (Pm3-msymmetry), usingab initiocalculations. The system adopts a ferromagnetic ground state, with nearest-neighbor (NN) exchange (J₁= 0.2108 meV) and a stronger next-NN exchange (J₂= 1.7142 meV), resulting in an estimated Curie temperature (T_C= 243.14 K) that exceeds the experimental value of 185 K. The dominance ofJ₂overJ₁indicates the significant role of longer-range magnetic coupling, consistent with indirect exchange interactions mediated by conduction electrons in metallic 4f systems. Eu₃InO exhibits intriguing electronic features, like Fermi surface topology indicative of nesting possibility and a nodal ring in thekz=0plane. The topological characteristics contribute to non-zero Berry curvature and anomalous Hall conductivity. Additionally, surface state and constant energy contour plot reveal a nodal ring along the (001) surface. Our findings position Eu₃InO as a promising material for magnetoelectronics and spintronics.