A method is presented for incorporating a metal-ferroelectric-metal (MFM) structure in a cross-bar array in back end of the line (BEOL) processing. The method includes forming a first electrode, forming a ferroelectric layer in direct contact with the first electrode, forming a second electrode in direct contact with the ferroelectric layer, such that the first electrode and the ferroelectric layer are perpendicular to the second electrode to form the cross-bar array, and biasing the second electrode to adjust domain wall movement within the ferroelectric layer.