A Simple Model for Anisotropic Step Growth

Details A Simple Model for Anisotropic Step Growth A Simple Model for Anisotropic Step Growth

1998-05-13

arxiv.org/abs/cond-mat/9805150v1

Physics

Condensed Matter

Materials Science

20 pages, 12 figures; alanissi@csc.fi

Scientific paper

10.1103/PhysRevE.57.6851

We consider a simple model for the growth of isolated steps on a vicinal crystal surface. It incorporates diffusion and drift of adatoms on the terrace, and strong step and kink edge barriers. Using a combination of analytic methods and Monte Carlo simulations, we study the morphology of growing steps in detail. In particular, under typical Molecular Beam Epitaxy conditions the step morphology is linearly unstable in the model and develops fingers separated by deep cracks. The vertical roughness of the step grows linearly in time, while horizontally the fingers coarsen proportional to $t^{0.33}$. We develop scaling arguments to study the saturation of the ledge morphology for a finite width and length of the terrace.

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