A method for manufacturing a semiconductor device includes: partially dicing a substrate wafer arrangement having a plurality of semiconductor chips, wherein the partial dicing forms trenches around the semiconductor chips on a front-side of the substrate wafer arrangement, the depth being greater than a target thickness of a semiconductor chip; filling the trenches with a polymer material to form a polymer structure; first thinning of the back-side to expose portions of the polymer structure; forming a conductive layer on the back-side of the substrate wafer arrangement so that the exposed portions of the polymer structure are covered; second thinning of the back-side to form insular islands of conductive material, the insular islands separated from each other by the polymer structure, each insular island corresponding to a respective one of the semiconductor chips; and dicing the substrate wafer arrangement along the polymer structure.