Metal-insulator transition in highly conducting oriented polymers

Abstract

We suggest that highly conducting oriented polymers with a fibril structure can be modeled by a regular lattice of disordered metallic wires with a random first-neighbor interwire coupling which mimics the cross-links between fibrils. We show that such a model can be described by a non-linear sigma model. Within a one-loop self-consistent approximation, we determine the position of the metal-insulator transition as a function of interwire cross-links concentration, interwire coupling and number of polymer chains in a wire.