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Phys. Rev. Lett. 101, 158701 (2008) [4 pages]

Mesoscopic and Microscopic Modeling of Island Formation in Strained Film Epitaxy

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Zhi-Feng Huang
Department of Physics and Astronomy, Wayne State University, Detroit, Michigan 48201, USA

K. R. Elder
Department of Physics, Oakland University, Rochester, Michigan 48309, USA

Received 23 June 2008; published 7 October 2008

The instability of strained films for island formation is examined through an approach incorporating both discrete microscopic details and continuum mechanics. A linear relationship between the island wave number and misfit strain is found for large strains, while only in the small strain limit is a crossover to the continuum elasticity result obtained. A universal scaling relation accommodating all range of misfit strains is identified. Our results indicate that continuum mechanics may break down even at relatively small misfit stress due to the discrete nature of crystalline surfaces.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.158701
DOI:
10.1103/PhysRevLett.101.158701
PACS:
68.55.−a, 81.15.Aa, 89.75.Da, 89.75.Kd