A magnetic head is disclosed having a CPP read head which produces reduced cross-track interference. The CPP read head includes a read sensor, a first shield and a second shield. The second shield has side drapes having an edge portion adjacent to the read sensor. The side drapes include a plurality of laminated layers which discourages formation of closure domains at the edge portions, and thus maintaining the side drapes in a state of high magnetic permeability. The laminated layers each include a magnetic layer and a non-magnetic spacer layer. Also disclosed is an edge closed lamination structure.