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Modeling of Dislocations in an Epitaxial Island Structure

Published online by Cambridge University Press:  18 March 2011

X. H. Liu
Affiliation:
IBM Watson Research Center, P.O. Box 218 Yorktown Heights, NY 10598, U.S.A.
F. M. Ross
Affiliation:
IBM Watson Research Center, P.O. Box 218 Yorktown Heights, NY 10598, U.S.A.
K. W. Schwarz
Affiliation:
IBM Watson Research Center, P.O. Box 218 Yorktown Heights, NY 10598, U.S.A.
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Abstract

We present calculations of dislocations in CoSi2 islands grown by reactive epitaxy on a Si(111) substrate. The stress fields due to the lattice mismatch are calculated with standard FEM techniques, and are converted into a structured, multi-level and multi-grid stress table that is imported into the PARANOID code to study the dislocation dynamics. Single and multiple dislocations in the island have been simulated, and the predicted patterns are strikingly similar to those observed experimentally. By looking at the growth behavior of very small loops we also find that dislocation-loop nucleation becomes easier as the islands become larger, and that thick islands are dislocated at smaller sizes than thin ones. These results are also in good agreement with experimental observations. We conclude that current modeling techniques are sufficient to treat this type of problem at a useful level of accuracy.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

REFERENCES

[1] Liu, X. H., Ross, F. M., and Schwarz, K. W., Phys. Rev. Lett. 85, 4088 (2000).Google Scholar
[2] Hirth, J. P. and Lothe, J., Theory of Dislocations, (Krieger, Malabar, FL, 1992).Google Scholar
[3] DeVincre, B. and Kubin, L. P., Model. Simu. Mater. Sci. Eng. 2, 559 (1994).Google Scholar
[4] Zbib, H. M., Rhee, M., and Hirth, J. P., Int. J. Mech. Sci. 40, 113 (1998).Google Scholar
[5] Schwarz, K. W., J. Appl. Phys. 85, 108 (1999).Google Scholar
[6] Ghoniem, N. M. and Sun, L. Z., Phys. Rev. B60, 128 (1999).Google Scholar
[7] ABAQUS User's Manual Version 5.7 (Hibbitt, Karlsson, and Sorensen, Inc., Pawtucket, RI, 1997).Google Scholar
[8] Eshelby, J. D. and Stroh, A. N., Phil. Mag. 42, 1401 (1951).Google Scholar
[9] Dundurs, J., Elastic Interaction of Dislocations with Inhomogeneities, in Mathematical Theory of Dislocations, ed. Mura, T., (ASME, New York, NY, 1969) pp. 70115.Google Scholar
[10] Eshelby, J. D., Boundary Problems, Chap. 3 in Dislocations in Solids, Vol. 1, ed. Nabarro, F.R.N., (North-Holland Publishing Company, 1979) pp. 169221.Google Scholar
[11] Boussinesq, J., Application des potentiels à l'équilibre et du movement des solides élastiques, (Paris: Gauthier-Villars, 1885) p.45.Google Scholar
[12] Cerruti, V., Roma, Acc. Lincei, mem. fis. mat. (1882).Google Scholar
[13] Liu, X. H. and Schwarz, K. W., in preparation (2001).Google Scholar
[14] Tung, R. T., Poate, J. M., Bean, J. C., Gibson, J. M., and Jacobson, D. C., Thin Solid Films 93, 77 (1982).Google Scholar
[15] Kanel, H. von, Mat. Sci. Rep. 8, 193 (1992).Google Scholar
[16] Maex, K., Mat. Sci. and Eng. R11, 53 (1993).Google Scholar
[17] Gibson, J. M., Bean, J. C., Poate, J. M., and Tung, R. T., Thin Solid Films 93, 99 (1982).Google Scholar
[18] Chambers, S. A., Anderson, S. B., Chen, H. W., and Weaver, J. H., Phys Rev. B34, 913 (1986)Google Scholar
[19] Gibson, J. M., Batstone, J. L., and Tung, R. T., Appl. Phys. Lett. 51, 45 (1987).Google Scholar
[20] Bulle-Lieuwma, C. W. T., Vandenhoudt, D. E. W., Henz, J., Onda, N., and Kanel, H. von, J. Appl. Phys. 73, 3220 (1993).Google Scholar
[21] Bennett, P. A., Parikh, S. A., and Cahill, D. G., J. Vac. Sci. Technol. A11, 1680 (1993).Google Scholar
[22] Hammar, M., LeGoues, F., Tersoff, J., Reuter, M. C., and Tromp, R. M., Surf. Sci. 349, 129 (1995).Google Scholar
[23] Ross, F. M., LeGoues, F. K., Tersoff, J., Tromp, R. M., and Reuter, M. C., Microscopy Res. Tech. 42, 281 (1998).Google Scholar
[24] Ross, F. M., Bennett, P. A., Tromp, R. M., Tersoff, J., and Reuter, M. C., Micron 30, 21 (1999)Google Scholar
[25] Ross, F. M., Tersoff, J., Tromp, R. M., Reuter, M. C., and Bennett, P. A., J. Electron Microscopy 48, 1059 (1999).Google Scholar
[26] Maex, K. and Rossum, M. van, editors, Properties of Metal Silicides, EMIS Data Reviews, (Inspec, London, 1995).Google Scholar