Two-Dimensional Conductivity of Thin Inhomogeneous Gold Films
Two-dimensional (2D) conductivity behavior for thin metallic films has widely been analyzed and discussed in the last ten years . In some cases, e.g. for homogeneous thin films consistency has been achieved determining the relevant electronic scattering length’s from the temperature-as well as from the magnetic field dependence of the resistance at low temperatures . However, it has been argued that for inhomoge-neous thin films it is difficult to obtain the relevant electron scattering length’s, since the diffusion constant is not well defined . Moreover, if the inhomogeneity of the films becomes large, e.g. approaching the percolation threshold, it is proposed that the diffusion constant becomes length dependent . To study these problems we investigated the structure of thin percolating gold films as well as their electrical properties. We find that the length dependence of the diffusion constant can be experienced by the temperature dependence of the phase coherence length.
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