研究目的
To derive an analytical model for the electrical conduction within nanowire networks that can relate fundamental physical quantities, like wire resistance, contact resistance and nanowire density, to the sheet resistance of the ?lm, providing a tool with predictive power for the evaluation and optimization of nanowire networks in various applications.
研究成果
The study derived a closed-form analytical model for the conduction in thin nanowire networks, containing only physical parameters such as geometry, normalized density, wire resistance, and contact resistance. The model fits a wide range of transparent electrode data from the literature and provides a theoretically coherent framework for physical understanding of the system, as well as an easy-to-use tool.
研究不足
The model was derived for straight wires, but the ones present in experimental samples are usually bent. However, the model is insensitive to the curvature of wires up to small bending radii, extending its validity.
1：Experimental Design and Method Selection:
The study employs numerical simulations and analytical modeling to understand the electrical transport within nanowire networks. The model is based on an analysis of the parallel resistor network and is verified against simulated stick models and experimental data from AgNWs, CuNWs, and SWCNTs.
2：Sample Selection and Data Sources:
Experimental data were gathered from 13 publications, selected based on the availability of nanowire/SWCNT specifications and low-noise measurement data.
3：List of Experimental Equipment and Materials:
The study uses numerical simulations implemented in Python and fits experimental data using MATLAB based on the trust-region-reflective algorithm.
4：Experimental Procedures and Operational Workflow:
For numerical simulations, 250000 wires of constant length and uniformly distributed angles were randomly placed in a square. The junctions in the system were calculated and attributed a potential node on either side of the junction. The boundary condition to make the matrix system determined is to send a unit current into the right electrode and out of the left electrode.
5：Data Analysis Methods:
The logarithm of the data was fitted by the derived analytical model, employing a nonlinear least-square fit in MATLAB based on the trust-region-reflective algorithm.
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