Growth of Patterned Surfaces

Details Growth of Patterned Surfaces Growth of Patterned Surfaces

1997-11-04

arxiv.org/abs/cond-mat/9711019v1

Phys. Rev. Lett. 79, 4854 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, uses psfig; to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.79.4854

During epitaxial crystal growth a pattern that has initially been imprinted on a surface approximately reproduces itself after the deposition of an integer number of monolayers. Computer simulations of the one-dimensional case show that the quality of reproduction decays exponentially with a characteristic time which is linear in the activation energy of surface diffusion. We argue that this life time of a pattern is optimized, if the characteristic feature size of the pattern is larger than $(D/F)^{1/(d+2)}$, where $D$ is the surface diffusion constant, $F$ the deposition rate and $d$ the surface dimension.

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