General microscopic model of magnetoelastic coupling from first principles

Magnetoelastic coupling, i.e., the change of crystal lattice induced by a spin order, is not only scientifically interesting, but also technically important. In this work, we propose a general microscopic model from first-principles calculations to describe the magnetoelastic coupling and provide a way to construct the microscopic model from density functional theory calculations. Based on this model, we reveal that there exists a previously unexpected contribution to the electric polarization induced by the spin order in multiferroics due to the combined effects of magnetoelastic coupling and piezoelectric effect. Interestingly and surprisingly, we find that this lattice-deformation contribution to the polarization is even larger than that from the pure electronic and ion-displacement contributions in BiFe O₃ . This model of magnetoelastic coupling can be generally applied to investigate the other magnetoelastic phenomena.