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Using a tunneling-percolation model and Monte Carlo simulations, we study the resistivity of graphene-based nanocomposites as a function of both graphene sheet and device parameters. We observe an inverse power law dependence of resistivity on device dimensions and volume fraction near the percolation threshold, and find that high aspect ratio graphene sheets result in a much lower resistivity, particularly at low sheet densities. Furthermore, we find that graphene sheet area affects nanocomposite resistivity more strongly than sheet density does. These results impart important fundamental insights for future experimental investigations and applications of graphene-based conductive nanocomposites.
Hicks et al. (Mon,) studied this question.