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
Rsq have been measured for thin granular aluminum films. In a magnetic field of
5T, the conductance
σ decreases with decreasing
T as
σ=αTe2/(2π2plankv)lnT+σ0 due to weak localization effect. The value of
αT decreases when
Rsq increases beyond
6
8kΩ. 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
TC with use of the fitting parameter
D(T). These behaviors can be explained qualitatively by a model of scaling law for percolation.