Study of percolation in the presence of tunneling bonds

We investigate a model correlated bond percolation problem on a 2D square lattice. We throw conducting bonds at random on a lattice. The nearest-neighbour gaps (which are not actually connected through conducting bonds) are bridged by some other “tunneling” bonds, which represent tunneling through these junctions under the application of high voltage. In the presence of all these “tunneling” bonds the percolation threshold of the system is lowered and we address the question of universality class of this correlated percolation model.