In a method for producing a free-standing solid state layer, a solid state material is provided having at least one surface available for layer formation thereon and a layer of polymer is formed on the available surface. The solid state material and polymer layer are then exposed to a change in local temperature from a first temperature that is no greater than about 300° C. to a second temperature below about room temperature to cause the solid state material to fracture along a plane at a depth in the material, to produce at least one free-standing solid state layer from the solid state material.