Experimental observation and simulation of fractal patterns of Au/Ge bilayer films

In this paper, we report on the simulation of fractal clusters and the comparison with experimental fractal patterns. We found that multiple fractal clusters can be formed in Au/Ge bilayer films for different annealing times. The fractal crystallization area increases with the increase in the annealing time. The random successive nucleation model can simulate the actual growth processes of multiple growth sites. The simulating fractal clusters are in good agreement with our experimental fractal patterns.