Transparent electrodes based on a mixture of wanowires and nanorings

Yuri Yu. Tarasevich, Andrei V. Eserkepov

Published 2022-11-08Version 1

We have studied the electrical conductance of two-dimensional random percolating networks of zero-width metallic nanowires (a mixture of rings and sticks). We toke into account the nanowire resistance per unit length and the junction (nanowire/nanowire contact) resistance. Using a mean-field approximation (MFA), we derived the total electrical conductance of the nanowire-based networks as a function of their geometrical and physical parameters. The MFA predictions have been confirmed by our Monte Carlo (MC) numerical simulations. MC simulations were focused on the case when the circumferences of the rings and the lengths of the wires are equal. In this case, the electrical conductance of the network is almost insensitive to the proportions of rings and sticks when the wire resistance and the junction resistance are equal. When the junction resistance dominates over the wire resistance, a linear dependency of the electrical conductance of the network on the proportions of rings and sticks was observed.