First-principles approach to lattice-mediated magnetoelectric effects

We present a first-principles scheme for the computation of the magnetoelectric response of magnetic insulators. The method focuses on the lattice-mediated part of the magnetic response to an electric field, which we argue can be expected to be the dominant contribution in materials displaying a strong magnetoelectric coupling. We apply our method to Cr2O3, a relatively simple and experimentally well studied magnetoelectric compound.