Electron diffusion in percolating gold clusters

A. Carl, G. Dumpich and S. Friedrichowski

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 454-457

Abstract: Static and dynamical properties of percolating gold films are investigated by means of computer simulations on digitized pictures taken from original TEM-micrographs. From the digitized pictures we calculate the percolation correlation length ξp and determine the rms distance r of a random walk as function of time. For r<ξp we find r(t∼t1dw with dw=2.62 close to dw = 2.87, the fractal dimension of the random walk in 2D percolation. Topological behaviour has been studied by means of determining the mass M on topological length scale l. For l<ξp we find M(l)∼ldl with dl=1.64 close to the theoretical value. We compare the results with the temperature dependence of the phase coherence length Lφ as determined from magnetoresistance (MR) measurements, where we find Lφ(T∼T−pdw with dw= 2.87±0.1 for Lφ<ξp. We conclude that the dynamical properties of our gold films are in agreement with percolation theory exhibiting anomalous diffusion for (Lφ, r)<ξp.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:454-457

DOI: 10.1016/0378-4371(92)90567-A

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