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Dynamic Scaling of the Island-Size Distribution and Percolation in a model of Sub-Monolayer Molecular Beam Epitaxy

Published online by Cambridge University Press:  15 February 2011

Jacques G. Amar ,
Fereydoon Family  and
Pui-Man Lam
Jacques G. Amar
Affiliation:
Department of Physics, EMory University, Atlanta GA 30322
Fereydoon Family
Affiliation:
Department of Physics, EMory University, Atlanta GA 30322
Pui-Man Lam
Affiliation:
Department of Physics, Southern University, Baton Rouge, LA 70813
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Abstract

The results of a detailed study of the scaling and percolation behavior of the sub-Monolayer in a model of molecular beam epitaxy are presented. In our model adatoms are randomly deposited on a square lattice and then allowed to diffuse. Whenever an adatom encounters another adatom or an island, it is attached to them and becomes immobile. We have found and studied four distinct scaling regimes, corresponding to a low-coverage (nucleation) regime, intermediate-coverage regime, an aggregation regime, and coalescence and percolation regime. At low coverage the islands have a dendritic structure such as seen in Au/Ru (0001) while at higher coverages they become compact. The scaling of the cluster fractal dimension, island density, Monomer density, island size distribution, and structure factor and pair-correlation function are studied as a function of the coverage θ and the ratio R = D /F of the diffusion rate to the deposition rate.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 317: Symposium B – Mechanisms of Thin Film Evolution , 1993 , 167
Copyright
Copyright © Materials Research Society 1994

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