Percolation conductivity in granular metal films

Abstract

Abeles, Pinch, and Gittelman have fitted the conductivity of annealed W-${\mathrm{Al}}_2$ ${\mathrm{O}}_3$ granular metal films to a percolation threshold. They find $C^{*}=0.47\mathrm{}\pm 0.05$. By numerical simulation of conductivity in resistor networks we demonstrate that these conductivity data can be explained if there is a bias towards the formation of isolated metallic regions.