Atypical Ferrimagnetism in the case of Ni$_4$Nb$_2$O$_9$

Abstract: Ferrimagnetism typically emerges from chemically distinct magnetic ions or mixed-valence states. In contrast, we discover an unconventional route to ferrimagnetism in Ni4Nb2O9, where identical Ni(2+) ions at crystallographically equivalent positions develop unequal magnetic moments purely due to differences in their local environments. Through a synergy of powder neutron diffraction, inelastic neutron scattering, first-principle-based calculations, we reveal that the Ni(A) and Ni(B) sublattices, despite sharing the same nominal valence, differ in octahedral distortion, magnetic dimensionality, and electronic structure. Ni(A) exhibits a quasi one-dimensional character, enhanced p-d hybridization, and reduced magnetic moment due to spin delocalization onto oxygen, while Ni(B) retains a nearly two-dimensional geometry and a full spin-1 moment. Our findings demonstrate that structural and electronic inequivalence alone can induce ferrimagnetism, offering a new design principle for materials with controllable magnetic compensation and anisotropy relevant for spintronic applications and beyond.