# Transparent electrodes with nanorings: a computational point of view

## TL;DR

This study uses Monte Carlo simulations to analyze how the arrangement and size distribution of silver nanorings affect the electrical conductivity of transparent conductive films, providing insights into optimizing their design.

## Contribution

It introduces a computational model for predicting electrical conductivity in nanoring-based transparent electrodes, considering size dispersity and ring density effects.

## Key findings

- Electrical conductivity increases linearly with nanoring density.
- Size dispersity lowers the percolation threshold.
- Analytical estimations align with simulation results.

## Abstract

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.