A method of fabricating an integrated circuit with a dielectric layer on a substrate is disclosed. One embodiment provides forming the dielectric layer in an amorphous state on the substrate, the dielectric layer having a crystallization temperature; a doping the dielectric layer; a forming of a covering layer on the dielectric layer at a temperature being equal to or below the crystallization temperature; and a heating of the dielectric layer to a temperature being equal to or greater than the crystallization temperature.