2018
DOI: 10.1039/c8nh00066b
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Percolation in networks of 1-dimensional objects: comparison between Monte Carlo simulations and experimental observations

Abstract: This work directly compares the percolation threshold of silver nanowire networks to predictions from Monte Carlo simulations, focusing particularly on incorporating the impact of real world imperfections. This SEM image of silver nanowire networks compared to MATLAB simulation based on the physical characteristics of the sample.

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Cited by 33 publications
(30 citation statements)
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“…It also demonstrates that the combination of high and low aspect ratio AgNWs can be a feasible approach to prepare semitransparent electrodes for realizing efficient ST‐OPVs. In addition, we found that the V oc of the ST‐OPVs is slightly lower than that of the reference sample, [ 42 ] which is 0.70 V. Based on the mechanism of the V oc of polymer solar cells, [ 57,58 ] the difference might be ascribed to the lower work function of PEDOT:PSS than MoO 3 . Interestingly, the control devices with AgNW‐HR top electrodes show similar champion performance (the PCE of 7.41%) as the AgNW‐BM‐based devices.…”
Section: Resultsmentioning
confidence: 99%
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“…It also demonstrates that the combination of high and low aspect ratio AgNWs can be a feasible approach to prepare semitransparent electrodes for realizing efficient ST‐OPVs. In addition, we found that the V oc of the ST‐OPVs is slightly lower than that of the reference sample, [ 42 ] which is 0.70 V. Based on the mechanism of the V oc of polymer solar cells, [ 57,58 ] the difference might be ascribed to the lower work function of PEDOT:PSS than MoO 3 . Interestingly, the control devices with AgNW‐HR top electrodes show similar champion performance (the PCE of 7.41%) as the AgNW‐BM‐based devices.…”
Section: Resultsmentioning
confidence: 99%
“…A minimum loading density is preferred to maximize the optical transmittance while ensuring electrical conductivity. Based on a study [ 42 ] on stick percolation by Monte Carlo simulations, the relationship between the critical density ( N c ) required for percolation and the length of nanowires is given by the equation: N c L = 5.6. It clearly reveals that longer AgNWs can lower the percolative threshold number, whereas a network of short AgNWs inevitably requires more nanowires to ensure a well‐connected and percolating network.…”
Section: Resultsmentioning
confidence: 99%
“…A discussion of deviations from the model are included in sections 3 and 4 of the Supplementary Information. Other factors that can affect the electro-optical predictions of our model include the inherent flexibility of the NWs and the diameter dependent persistence length which is known to play an important role in the connectivity of the networks 47,48 . At this point, for the sake of simplicity, our simulations only account for rigid rods and fixed persistence lengths.…”
Section: Resultsmentioning
confidence: 99%
“…similarly demonstrated that nanowire length is likely the dominant factor governing the electrical performance of MNW networks. [ 120 ] Some models have been developed to try to predict the sheet resistance of a nanowire network as a function of microscopic parameters, such as the work by Forró et al. [ 121 ] to predict the sheet resistance of a MNW network as a function of microscopic parameters.…”
Section: Modeling and Simulations To Understand Failurementioning
confidence: 99%