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Phys. Rev. Lett. 79, 4858–4861 (1997)

Equilibrium Shapes and Properties of Epitaxially Strained Islands

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B. J. Spencer
Department of Mathematics, SUNY at Buffalo, 3435 Main Street, Buffalo, New York 14214-3093

J. Tersoff
IBM Research Division, T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598

Received 14 August 1997; published in the issue dated 15 December 1997

We calculate the equilibrium morphology of an epitaxial strained layer which wets the substrate (Stranski-Krastanow growth), in a two-dimensional continuum model. The layer coalesces into a single discrete island, with zero contact angle to the film wetting the substrate. Small islands have a minimum width, and hence an arbitrarily small aspect ratio. Very large coherent islands have a shape that approaches a ball sitting atop the wetting layer.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.4858
DOI:
10.1103/PhysRevLett.79.4858
PACS:
68.55.Jk, 81.10.Aj