Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article:

Phys. Rev. Lett. 71, 3174–3177 (1993)

[Issue 19 – 8 November 1993 ]

[ Previous article | Next article | Issue 19 contents ]

Renormalization group study of a driven continuum model for molecular beam epitaxy

Tao Sun and Michael Plischke

Department of Physics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6

We use the dynamic renormalization group technique to study a continuum model for molecular beam epitaxy for both one- and two-dimensional substrates. Relaxation of the growing film is due to surface tension and surface diffusion. In 1+1 dimensions we find a purely diffusive strong-coupling fixed point with a dynamic exponent z different from that given by the linear theory as well as the Edwards-Wilkinson fixed point and a fixed point corresponding to unstable growth. In 2+1 dimensions the purely diffusive fixed point is absent at the one loop order but the other two fixed points are still present.

©1993 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v71/p3174
DOI: 10.1103/PhysRevLett.71.3174
PACS: 68.55.Bd, 05.40.+j, 68.35.Fx

[ Previous article | Next article | Issue 19 contents ]

References

1. A. Mazor, D. J. Srolovitz, P. S. Hagan and B. G. Bukiet, Phys. Rev. Lett. 60, 424 (1988).
2. D. E. Wolf and J. Villain, Europhys. Lett. 13, 389 (1990) [ INSPEC].
3. J. Villain, J. Phys. I (France) 1, 19 (1991) [ INSPEC].
4. S. Das Sarma and P. Tamborenea, Phys. Rev. Lett. 66, 325 (1991).
5. S. Das Sarma and S. V. Ghaisas, Phys. Rev. Lett. 69, 3762 (1992).
6. Molecular Beam Epitaxy 1990, edited by C. W. Tu and J. S. Harris, Jr. (North Holland, Amsterdam, 1991).
7. L. Golubovic and R. P. U. Karunasiri, Phys. Rev. Lett. 66, 3156 (1991).
8. Solids Far From Equilibrium, edited by C. Godrèche (Cambridge University Press, Cambridge, 1991).
9. Z. W. Lai and S. Das Sarma, Phys. Rev. Lett. 66, 2348 (1991).
10. M. Siegert and M. Plischke, Phys. Rev. Lett. 68, 2035 (1992); and, J. Phys I (France) 3, 1371 (1993) [ INSPEC].
11. Surface Disordering: Growth, Roughening and Phase Transitions, edited by R. Jullien, J. Kertèsz, P. Meakin, and D. E. Wolf (Nova Science, Commack, NY, 1992).
12. J. Krug, M. Plischke and M. Siegert, Phys. Rev. Lett. 70, 3271 (1993); and, 71, 949 (1993).
13. M. Plischke, J. D. Shore, M. Schroeder, M. Siegert and D. E. Wolf, Phys. Rev. Lett. 71, 2509 (1993).
14. W. W. Mullins, J. Appl. Phys. 28, 333 (1957).
15. T. Sun and M. Plischke (unpublished).
16. S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. London A 381, 17 (1982) [ INSPEC].
17. T. Sun, H. Guo and M. Grant, Phys. Rev. A 40, 6763 (1989).
18. B. I. Halperin, P. C. Hohenberg and S. K. Ma, Phys. Rev. Lett. 29, 1548 (1972).
19. P. Nozières and F. Gallet, J. Phys. (Paris) 48, 353 (1987) [ INSPEC].
20. A negative kappa corresponds to a locally unstable situation, which would be unphysical.

[ Previous article | Next article | Issue 19 contents ]