Self-assembly of strained epitaxial deposits (islands) grown on a substrate is a promising route to fabricate nanostructures of significance for electronic and optoelectronic devices. The challenge is to achieve specific island arrangements that are required for device functionality and high performance. This article investigates growth on a topographically patterned substrate as a means to control the arrangement of islands. By taking free energy to consist of elastic energy and surface energy, minimum energy configurations are calculated for islands on a raised substrate mesa. Configurations of one, two, and three islands at different positions on the mesa are considered to determine their relative energies as a function of mesa size, island size, mismatch strain between the island and substrate materials, surface energy, and elastic moduli. Insight is offered on the mechanisms responsible for certain physical observations such as a transition from the formation of multiple islands to a single island as mesa size is reduced.
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e-mail: noah.machtay@stonybrook.edu
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March 2006
Technical Papers
Energetics of Epitaxial Island Arrangements on Substrate Mesas
N. D. Machtay,
N. D. Machtay
Department of Mechanical Engineering,
e-mail: noah.machtay@stonybrook.edu
State University of New York
, Stony Brook, NY 11794-2300
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R. V. Kukta
R. V. Kukta
Department of Mechanical Engineering,
State University of New York
, Stony Brook, NY 11794-2300
Search for other works by this author on:
N. D. Machtay
Department of Mechanical Engineering,
State University of New York
, Stony Brook, NY 11794-2300e-mail: noah.machtay@stonybrook.edu
R. V. Kukta
Department of Mechanical Engineering,
State University of New York
, Stony Brook, NY 11794-2300J. Appl. Mech. Mar 2006, 73(2): 212-219 (8 pages)
Published Online: May 14, 2005
Article history
Received:
February 2, 2005
Revised:
May 14, 2005
Citation
Machtay, N. D., and Kukta, R. V. (May 14, 2005). "Energetics of Epitaxial Island Arrangements on Substrate Mesas." ASME. J. Appl. Mech. March 2006; 73(2): 212–219. https://doi.org/10.1115/1.2073327
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