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A Continuum Approach to Two-Component Thin Film Growth

Published online by Cambridge University Press:  10 February 2011

Yi-Kug Yu
Affiliation:
Department of Physics, Florida Atlantic University, Boca Raton, FL [email protected]
Luc T. Wille
Affiliation:
Department of Physics, Florida Atlantic University, Boca Raton, FL [email protected]
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Abstract

Theoretical effort so far in understanding epitaxial growth has focused mainly on the one-component growth, i.e. growth that can be fully characterized by a surface (or height) profile. The predictions are also quite limited to the height-height correlation functions as a function of substrate size and the amount of deposition. In this paper, we consider the case of a two-component growth which is quite common in metallic thin films. Instead of using large-scale simulation, we first write down the appropriate two-component growth equations in continuum form. These equations are carefully designed such that in the limit of one-component growth the corresponding equation is recovered. Analytical and numerical analysis of the proposed equations allow us to study the long-range physics associated with these growth processes. Comparison with computer growth experiments is also mentioned.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

1. Solids Far From Equilibrium: Growth, Morphology and Defects., edited by Godreche, C. (Cambridge University Press, Cambridge 1991).Google Scholar
2. Fractal Concepts in Surface Growth, by Barabasi, A.-L. and Stanley, H. E. (Cambridge University Press, Cambridge 1995).Google Scholar
3. Yu, Yi-Kuo, Ph.D. dissertation, Columbia University, 1994.Google Scholar
4. Edwards, S. F. and Wilkinson, D. R., Proc. Roy. Soc. London A 381, 17 (1982).Google Scholar
5. Kardar, M., Parisi, G., and Zhang, Y. C.. Phys. Rev. Lett. 56, 889(1986).Google Scholar
6. Smith, J. R. Jr., and Zangwill, A., Phys. Rev. Lett. 76, 2097(1996).Google Scholar
7. Tersoff, J., Phys. Rev. Lett. 77, 2017(1996).Google Scholar
8. Wolf, D. E. and Villain, J., Europhys. Lett. 13, 389(1990).Google Scholar
9. Sarma, S. Das and Tamborenea, P., Phys. Rev. Lett. 66, 325(1991).Google Scholar
10. Golubovic, L. and Bruinsma, R., Phys. Rev. Lett. 66, 321(1991).Google Scholar
11. Lai, Z.-W. and Sarma, S. Das, Phys. Rev. Lett. 66, 2348 (1991).Google Scholar
12. Yu, Yi-Kuo and Wille, Luc T., unpublished.Google Scholar
13. Ouannasser, S., Wille, L. T. and Dreysse, H, Phys. Rev. B 55, 14245(1997); and references therein.Google Scholar
14. Kotrla, M. and Predota, M., Europhys. Lett. 39, 251(1997).Google Scholar
15. Kotrla, M., Predota, M. and Slanina, F., preprint, cond-mat/9802026.Google Scholar