Self-assembly and ordering mechanisms of Ge islands on prepatterned Si(001)
Journal
Physical Review B
Date Issued
2008
DOI
10.1103/PhysRevB.77.075311
Abstract
Ge deposition on Si 001 substrates patterned by focused ion beams is a promising route toward fabricating
highly ordered quantum dots. Depending on the growth temperature T, remarkable orderings of the assembled
islands are observed. At low T’s, when diffusion is limited, a metastable phase with dots nucleating in the holes
prevails. At high T’s, when diffusion is not limited by kinetics, an equilibrium ordered phase is observed with
dots nucleating on the terraces in between the pits. At intermediate T’s, random growth arises. Monte Carlo
simulations shed light onto this phenomenon. It is shown that the average stress energy of the equilibrium
ordered configuration is significantly lower than the energy of configurations with islands positioned in the pits.
Random nucleation gives rise to saddle configurations between the two ordered phases.
highly ordered quantum dots. Depending on the growth temperature T, remarkable orderings of the assembled
islands are observed. At low T’s, when diffusion is limited, a metastable phase with dots nucleating in the holes
prevails. At high T’s, when diffusion is not limited by kinetics, an equilibrium ordered phase is observed with
dots nucleating on the terraces in between the pits. At intermediate T’s, random growth arises. Monte Carlo
simulations shed light onto this phenomenon. It is shown that the average stress energy of the equilibrium
ordered configuration is significantly lower than the energy of configurations with islands positioned in the pits.
Random nucleation gives rise to saddle configurations between the two ordered phases.

