Localization transition in a random network of metallic wires: A model for highly conducting polymers

Abstract

We consider the Anderson metal-insulator transition in a network of randomly coupled metallic wires, which is suggested to describe transport properties of highly conducting fibril-form polymers. The absence of closed paths in the model enables us to study the transition exactly. The critical concentration of the cross-links determining the transition depends on the localization length of a single wire and on the interwire coupling. Application of a magnetic field extends the area of the metallic phase.