A study was made of the equilibrium shapes of adsorbate crystals, allowing for the presence of dislocations on an elastic substrate, using a two-dimensional lattice model. The ground-state energy was calculated numerically using an elastic lattice Green’s function. From the equilibrium shapes determined for various coverages, the growth mode was deduced. As the misfit parameter increased, the growth mode changed from Frank–van der Merwe to Stranski-Krastanov, for the parameter range of ordinary semiconductors. Conceivable growth modes, such as Stranski-Krastanov with dislocations, appeared in a parameter-range between Stranski-Krastanov and Frank–van der Merwe with dislocations.

Heteroepitaxial Growth Modes with Dislocations in a Two-Dimensional Elastic Lattice Model. H.Katsuno, M.Uwaha, Y.Saito: Surface Science, 2008, 602[22], 3461-6