Spin and orbital Edelstein effect in an oxide two-dimensional electron gas: theory and application to AlO$_x$/SrTiO$_{3}$

Abstract: The Edelstein effect provides the purely electrical generation and control of a homogeneous magnetization in primarily nonmagnetic materials with broken inversion symmetry. Usually, only the spin density response to an external electric field is discussed. Here, we report on the electrically induced magnetization containing spin as well as orbital contributions in the topological oxide two-dimensional electron gas at the interface between SrTiO$_3$ and AlO. We find that in this particular system the orbital Edelstein effect exceeds the spin Edelstein effect by more than one order of magnitude. The main reason are orbital moments of different magnitude in the Rashba-like-split band pairs.