Conductivity percolation on a square lattice with core-shell particles

Particles made by coating an insulating core with a thin layer (shell) of conducting materials, called core-shell particles, are recently proposed to realize materials with particular nano-scale structures. Such structures work as a "porous media" of electric current, and its modified characteristics may be useful to improve some materials, for example the transparent conducting films. In this report, the basic feasibility of this idea is tested in the framework of the percolation model and die random register network model. The observed critical behavior and critical exponents of conductivity are also discussed, for the first time for 2D situations with core-shell particles.