Designing nonrelativistic spin splitting in oxide perovskites

We investigate the role of atomic distortions in nonrelativistic spin splitting in perovskite oxides with Pbnm symmetry. Using LaMnO3 as a representative material, we analyze its nonrelativistic spin splitting through a combined phonon and multipolar analysis. Our study provides key insights into how structural distortions and magnetic ordering drive ferroically ordered magnetic multipoles, which, in turn, give rise to nonrelativistic spin splitting. Based on these findings, we propose three strategies for engineering nonrelativistic spin splitting: modifying the A-site cation size, strain engineering, and electric field control in superlattice structures. Our work establishes a framework for designing nonrelativistic spin splitting in the Brillouin zone of oxide perovskites.