In a method of fabricating a semiconductor device, an opening is formed inside a dielectric layer above a semiconductor substrate. The opening has a wall. At least one diffusion barrier material is then formed over the wall of the opening by at least two alternating steps, which are selected from the group consisting of a process of physical vapor deposition (PVD) and a process of atomic layer deposition (ALD). A liner layer is formed over the at least one diffusion barrier material.