A Coupled Equations Model for Epitaxial Growth on Textured Surfaces

Details A Coupled Equations Model for Epitaxial Growth on Textured Surfaces A Coupled Equations Model for Epitaxial Growth on Textured Surfaces

2004-04-14

arxiv.org/abs/cond-mat/0404341v1

Journal of Crystal Growth vol. 271, issue 1-2, pp. 13-21 (2004)

Physics

Condensed Matter

Materials Science

11 pages, 4 figures. Submitted to the Journal of Crystal Growth

Scientific paper

10.1016/j.jcrysgro.2004.07.047

We have developed a continuum model that explains the complex surface shapes observed in epitaxial regrowth on micron scale gratings. This model describes the dependence of the surface morphology on film thickness and growth temperature in terms of a few simple atomic scale processes including adatom diffusion, step-edge attachment and detachment, and a net downhill migration of surface adatoms. The continuum model reduces to the linear part of the Kardar-Parisi-Zhang equation with a flux dependent smoothing coefficient in the long wavelength limit.

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