  Four samples of transparent conductive films with different numbers of silver
nanorings per unit area were produced. The sheet resistance, transparency, and
haze were measured for each sample. Using Monte Carlo simulation, we studied
the electrical conductivity of random resistor networks produced by the random
deposition of the conducting rings onto the substrate. Both systems of
equal-sized rings, and systems with rings of different sizes were simulated.
Our simulations demonstrated the linear dependence of the electrical
conductivity on the number of rings per unit area. Size dispersity decreased
the percolation threshold, but without having any other significant effect on
the behavior of the electrical conductance. Analytical estimations obtained for
dense systems of equal-sized conductive rings were consistent with the
simulations.
