N. Moll et al., INFLUENCE OF SURFACE STRESS ON THE EQUILIBRIUM SHAPE OF STRAINED QUANTUM DOTS, Physical review. B, Condensed matter, 58(8), 1998, pp. 4566-4571
The equilibrium shapes of InAs quantum dots (i.e., dislocation-free, s
trained islands with sizes greater than or equal to 10 000 atoms) grow
n on a GaAs (001) substrate are studied using a hybrid approach that c
ombines density functional theory (DFT) calculations of microscopic pa
rameters, surface energies, and surface stresses with elasticity theor
y for the long-range strain fields and strain relaxations. In particul
ar we report DFT calculations of the surface stresses and analyze the
influence of the strain on the surface energies of the various facets
of the quantum dot. The surface stresses have been neglected in previo
us studies. Furthermore, the influence of edge energies on the island
shapes is briefly discussed. From the knowledge of the equilibrium sha
pe of these islands, we address the question whether experimentally ob
served quantum dots correspond to thermal equilibrium structures or if
they are a result of growth kinetics.