The effect of anisotropic diffusion on the process of island formation
and growth during the early stages of molecular beam epitaxy of Si on
Si(001) is studied. The theoretical treatment in terms of a rate-limi
ting step predicts strong growth anisotropy for the isotropic (1:1) an
d anisotropic (1000:1) diffusion models. Although, in the case of anis
otropic diffusion, the direction of easy diffusion is perpendicular to
the direction of preferential island growth, Monte Carlo simulations
show that the experimental STM data on island densities and island sha
pes can be reproduced by both models. Elongate island formation is, in
the first place, an effect of anisotropic lateral interactions, while
the migration anisotropy has a minor effect on the island shapes. It
somewhat suppresses shape anisotropy at low temperatures and slightly
enhances that at high temperatures.