  We study the coexistence of strain- and charge-mediated magnetoelectric
coupling in a cobalt (0-7 nm) wedge on ferroelectric
[Pb(Mg$_{1/3}$/Nb$_{2/3}$)O$_{3}$]$_{0.68}$-[PbTiO$_{3}$]$_{0.32}$ (011) using
surface-sensitive x-ray magnetic circular dichroism spectroscopy at the Co
L$_{3,2}$ edges. Three distinct electric field driven remanent magnetization
states can be set in the Co film at room temperature. Ab-initio density
functional theory calculations unravel the relative contributions of both
strain and charge to the observed magnetic anisotropy changes illustrating
magnetoelectro-elastic coupling at artificial multiferroic interfaces.
