LOCALIZATION TRANSITION IN A RANDOM NETWORK OF METALLIC WIRES - A MODEL FOR HIGHLY CONDUCTING POLYMERS

We consider the Anderson metal-insulator transition in a network of ra ndomly coupled metallic wires, which is suggested to describe transpor t 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 transit ion depends on the localization length of a single wire and on the int erwire coupling. Application of a magnetic field extends the area of t he metallic phase.