Electrical conductivity of nanorodbased transparent electrodes: Comparison of meanfield approaches
Abstract
We mimic nanorodbased transparent electrodes as random resistor networks (RRN) produced by the homogeneous, isotropic, and random deposition of conductive zerowidth sticks onto an insulating substrate. We suppose that the number density (the number of objects per unit area of the surface) of these sticks exceeds the percolation threshold, i.e., the system under consideration is a conductor. We computed the electrical conductivity of random resistor networks vs the number density of conductive fillers for the wireresistancedominated case, for the junctionresistancedominated case, and for an intermediate case. We also offer a consistent continuous variant of the meanfield approach. The results of the RRN computations were compared with this meanfield approach. Our computations suggest that, for a qualitative description of the behavior of the electrical conductivity in relation to the number density of conductive wires, the meanfield approximation can be successfully applied when the number density of the fillers $n > 2n_c$, where $n_c$ is the percolation threshold. However, note the meanfield approach slightly overestimates the electrical conductivity. We demonstrate that this overestimate is caused by the junction potential distribution.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.04455
 Bibcode:
 2021arXiv211004455T
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 10 pages, 9 figures, 52 references, extended and revised version of the invited talk presented during 34th Marian Smoluchowski Symposium on Statistical Physics http://www.smoluchowski.if.uj.edu.pl/