Scaling of Heteroepitaxial Island Sizes

Details Scaling of Heteroepitaxial Island Sizes Scaling of Heteroepitaxial Island Sizes

1994-06-15

arxiv.org/abs/cond-mat/9406066v1

Physics

Condensed Matter

10 pages, LaTeX 2.09, IC-DDV-94-001

Scientific paper

10.1016/0039-6028(94)90231-3

Monte Carlo simulations of an atomistic solid-on-solid model are used to study the effect of lattice misfit on the distribution of two-dimensional islands sizes as a function of coverage $\Theta$ in the submonolayer aggregation regime of epitaxial growth. Misfit promotes the detachment of atoms from the perimeter of large pseudomorphic islands and thus favors their dissolution into smaller islands that relieve strain more efficiently. The number density of islands composed of $s$ atoms exhibits scaling in the form \mbox{$N_s(\Theta) \sim \Theta / \langle s \rangle^2 \, g(s/\langle s \rangle$)} where $\langle s \rangle$ is the average island size. Unlike the case of homoepitaxy, a rate equation theory based on this observation leads to qualitatively different behavior than observed in the simulations.

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