Cooperative phenomena in self-assembled nucleation of 3 × 4-In/Si(100) surface magic clusters

Using statistical analysis of the scanning tunneling microscopy images of the 3 × 4-In surface magic cluster (SMC) arrays on Si(100)1 × 2 substrate at low In coverages, the main regularities of the space distribution of the nucleated SMCs have been established. It has been found that a nucleated SMC perturbs the surface potential relief within a limited zone around itself in a way that some of the sites in the zone demonstrate a great preference for nucleating a new cluster, while in the other sites the nucleation is greatly suppressed. Outside the zone, the nucleation probability is close to that of the random nucleation simulated using Monte-Carlo technique. Energetic background of the observed phenomena has been proved using density-functional theory calculations, which clearly demonstrate that the lower the formation energy the higher the occurrence probability of a given cluster-pair configuration.