Frequency dependent effective conductivity of two-dimensional metal-dielectric composites

Abstract

We analyze a random resistor-inductor-capacitor (RLC) lattice model of 2-dimensional metal-insulator composites. The results are compared with Bruggeman's and Landauer's Effective Medium Approximations where a discrepancy was observed for some frequency zones. Such a discrepancy is mainly caused by the strong conductivity fluctuations. Indeed, a two-branches distribution is observed for low frequencies. We show also by increasing the system size that at pc the so-called Drude peak vanishes; it increases for vanishing losses.

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