An apparatus and method for forming a patterned graphene layer on a substrate. One such method includes forming at least one patterned structure on a substrate; applying a layer of graphene on top of the at least one patterned structure on the substrate; heating the layer of graphene on top of the at least one patterned structure to remove one or more graphene regions proximate to the at least one patterned structure; and removing the at least one patterned structure to produce a patterned graphene layer on the substrate, wherein the patterned graphene layer on the substrate provides carrier mobility for electronic devices.