In one disclosed embodiment, a method for forming a high resolution resist pattern on a semiconductor wafer involves forming a layer of resist comprising, for example a polymer matrix and a catalytic species, over a material layer formed over a semiconductor wafer; exposing the layer of resist to patterned radiation; and applying a magnetic field to the semiconductor wafer during a post exposure bake process. In one embodiment, the patterned radiation is provided by an extreme ultraviolet (EUV) light source. In other embodiments, the source of patterned radiation can be an electron beam, or ion beam, for example. In one embodiment, the polymer matrix is an organic polymer matrix such as, for example, styrene, acrylate, or methacrylate. In one embodiment, the catalytic species can be, for example, an acid, a base, or an oxidizing agent.