  The spin Edelstein effect has proven to be a promising phenomenon to generate
spin polarization from a charge current in systems without inversion symmetry.
In recent years, a current-induced orbital magnetization, called orbital
Edelstein effect, has been predicted for various systems with broken inversion
symmetry, using the atom-centered approximation and the modern theory of
orbital magnetization. In this work, we study the current-induced spin and
orbital magnetization for a bilayer system with Rashba interaction, using the
modern theory of orbital magnetization and Boltzmann transport theory in
relaxation-time approximation. We found that the orbital effect can be
significantly larger than the spin effect, depending on the model parameters.
Furthermore, the Edelstein response can be enhanced, suppressed, and even
reversed, depending on the relation of the effective Rashba parameters of each
layer. A sign change of the orbital polarization is related to an interchange
of the corresponding layer localization of the states.
