基于纳米线和纳米环混合物的透明电极:平均场方法和计算机模拟
Transparent electrodes based on mixtures of nanowires and nanorings: A mean-field approach along with computer simulation
摘要:
我们研究了零宽度金属纳米线(环和棒的混合物)的二维(2D)随机互连网络的电导。我们考虑了纳米线的单位长度电阻和结(纳米线/纳米线接触)电阻。使用平均场近似(MFA)的方法,我们推导出总电导的这些基于硅的网络作为其几何和物理参数的函数。MFA的预测已经被我们的Monte Carlo(MC)数值模拟所证实。MC模拟集中在环的周长和丝的长度相等的情况下。在这种情况下,网络的电导被发现是几乎不敏感的相对比例的环和棒提供的线电阻和结电阻是相等的。当结电阻占主导地位的导线电阻,一个线性依赖关系的电导网络上的比例的环和棒进行了观察。
英文摘要:
We have studied the electrical conductance of two-dimensional (2D) 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) approach, we derived the total electrical conductance of these 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. The MC simulations were focused on the case when the circumferences of the rings and the lengths of the wires were equal. In this case, the electrical conductance of the network was found to be almost insensitive to the relative proportions of the rings and sticks provided that the wire resistance and the junction resistance were equal. When the junction resistance dominated over the wire resistance, a linear dependency of the electrical conductance of the network on the proportions of the rings and sticks was observed.
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