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(a) A representative network of simulated graphene sheets in a nanocomposite. The darker shaded regions at either end indicate source/drain electrodes. (b) Resistivity as a function of graphene sheet volume fraction, observing the characteristic inverse power law behavior of percolation systems. The device dimensions are in width, in length, and 30 nm in thickness with sheet areas of . The vertical line represents the location of the critical volume fraction .
Log-log plot of resistivity as a function of graphene sheet aspect ratio for three different volume fractions. Inset: Resistivity vs. volume fraction for sheets with and 20, keeping sheet area constant at .
Log-log plot of resistivity as a function of device width for two different graphene sheet aspect ratios. The inset shows log-log plot of resistivity as a function of device thickness for two different aspect ratios, following a similar trend to the effect of device width.
Resistivity contours for a matrix of sheet areas (-axis) and sheet densities (-axis) for a by by 30 nm device. Inset: A contour plot of element-element connection probability as a function of number of elements and element area. The numbers on the contours indicate the value of .
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