Abstract

In order to investigate the crossover from the homogeneous behavior to percolative one for two-dimensional system, the temperature T and magnetic field H dependence of the sheet resistance R sq have been measured for thin granular aluminum films. In a magnetic field of 5 T , the conductance σ decreases with decreasing T as σ=α T e 2/(2π 2ℏ) ln T+σ 0 due to weak localization effect. The value of α T decreases when R sq increases beyond 6∼8 kΩ . In the network which does not contain loops smaller than the phase relaxation length, weak localization effect is considered to be suppressed. We have obtained the anomalous T-dependent diffusion constant D from the analysis of the magnetoconductance above T C with use of the fitting parameter D( T). These behaviors can be explained qualitatively by a model of scaling law for percolation.

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