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Roughening and Preroughening of Diamond-Cubic {111} Surfaces

Published online by Cambridge University Press:  15 February 2011

Donald L. Woodraska
Affiliation:
Department of Physics, Michigan Technological University, 1400 Townsend Drive, Houghton, Michigan 49931–1295
John A. Jaszczak
Affiliation:
Department of Physics, Michigan Technological University, 1400 Townsend Drive, Houghton, Michigan 49931–1295
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Abstract

Using a new solid-on-solid model that correctly takes into account the diamond-cubic crystal structure, both a roughening transition at temperature TR and a distinct preroughening transition at TPR≈0.43TR are found to exist on {111}surfaces of diamond-cubic materials. Results are presented for height-difference correlation functions, surface specific heats, step energies, etch rates, and a preroughening order parameter. Preroughening appears to arise naturally in our nearest-neighbor bond model from the entropic freedom available in the non-trivial crystal structure suggesting that preroughening may be more common than previously anticipated. Preroughening is shown to dramatically lower step energies and step-energy anisotropy on the {111} surface. Preroughening of Si{111} may have been seen in experiments by Noh et al. [Phys. Rev. B 48, 1612 (1993)].

Type
Research Article
Copyright
Copyright © Materials Research Society 1997

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References

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