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Mixing length scales: step meandering and island nucleation on vicinal surfaces

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Abstract.

Simultaneous island nucleation and step flow growth on vicinal surfaces are studied by Monte Carlo simulations. Step edges experience meandering instability under growth conditions if there is a kink barrier suppressing adatom jumps around kink sites. This instability has a characteristic length scale, with different scaling properties from the island separation scale. We show that there is a coupling between island nucleation and step edge instability. The length scale associated with nucleation begins to couple with the wavelength of the step edge patterns when islands and steps coalesce. Only in the submonolayer regime step meandering is independent of island formation. In this regime the island separation has a cross-over scaling behaviour as terrace width is varied.

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References

  1. H.-C. Jeong, E.D. Williams, Surf. Sci. Rep. 34, 171 (1999)

    Google Scholar 

  2. P. Politi, G. Grenet, A. Marty, A. Ponchet, J. Villain, Phys. Rep. 324, 271 (2000)

    Google Scholar 

  3. H. Brune, Surf. Sci. Rep. 31, 121 (1998)

    Google Scholar 

  4. P. Finnie, Y. Homma, Surf. Sci. 500, 437 (2002)

    Google Scholar 

  5. J. Kallunki, J. Krug, Phys. Rev. E 62, 6229 (2000)

    Google Scholar 

  6. F. Gillet, O. Pierre-Louis, C. Misbah, Eur. Phys. J. B 18, 519 (2000)

    Google Scholar 

  7. O. Pierre-Louis, M.R. D’Orsogna, T.L. Einstein, Phys. Rev. Lett. 82, 3661 (1999)

    Google Scholar 

  8. T. Salditt, H. Spohn, Phys. Rev. E 47, 3524 (1993)

    Article  Google Scholar 

  9. M.V. Ramana Murty, B.H. Cooper, Phys. Rev. Lett. 83, 352 (1999)

    Google Scholar 

  10. T. Maroutian, L. Douillard, H.-J. Ernst, Phys. Rev. Lett. 83, 4353 (1999)

    Article  Google Scholar 

  11. M. Rusanen, I.T. Koponen, J. Heinonen, T. Ala-Nissila, Phys. Rev. Lett. 86, 5317 (2001)

    Article  Google Scholar 

  12. J. Kallunki, J. Krug, M. Kotrla, Phys. Rev. B 65, 205411 (2002)

    Google Scholar 

  13. M.C. Bartelt, J.W. Evans, Phys. Rev. B 46, 12675 (1992)

    Google Scholar 

  14. G.S. Bales, D.C. Chrzan, Phys. Rev. B 50, 6057 (1994)

    Google Scholar 

  15. R. Kunkel, B. Poelsema, L.K. Verheij, G. Comsa, Phys. Rev. Lett. 65, 733 (1990)

    Google Scholar 

  16. P. Šmilauer, M.R. Wilby, D.D. Vvedensky, Phys. Rev. B 47, 4119 (1993)

    Google Scholar 

  17. G. Ehrlich, F.G. Hudda, J. Chem. Phys. 44, 1039 (1966)

    Google Scholar 

  18. G.S. Bales, A. Zangwill, Phys. Rev. B 41, 5500 (1990)

    Article  Google Scholar 

  19. G.S. Bales, Surf. Sci. 356, L439 (1996)

  20. A.K. Myers-Beaghton, D.D. Vvedensky, Phys. Rev. B 42, 9720 (1990)

    Article  Google Scholar 

  21. S. Harris, Surf. Sci. 424, L335 (1999)

  22. S. Clarke, D.D. Vvedensky, Phys. Rev. Lett. 58, 2235 (1987)

    Article  Google Scholar 

  23. A. Pimpinelli, P. Peyla, Int. J. Mod. Phys. B 11, 3647 (1997)

    Article  Google Scholar 

  24. J. Villain, A. Pimpinelli, L. Tang, D. Wolf, J. Phys. I France 2, 2107 (1992)

    Article  Google Scholar 

  25. J. Heinonen, I. Koponen, J. Merikoski, T. Ala-Nissila, Phys. Rev. Lett. 82, 2733 (1999)

    Article  Google Scholar 

  26. M. Rusanen, I.T. Koponen, T. Ala-Nissila, C. Ghosh, T.S. Rahman, Phys. Rev. B 65, 041404 (2002)

    Article  Google Scholar 

  27. L. Schwenger, R.L. Folkerts, H.-J. Ernst, Phys. Rev. B 55, R7406 (1997)

  28. M. Rost, P. Šmilauer, J. Krug, Surf. Sci. 369, 393 (1996)

    Article  Google Scholar 

  29. J. Merikoski, I. Vattulainen, J. Heinonen, T. Ala-Nissila, Surf. Sci. 387, 167 (1997)

    Article  Google Scholar 

  30. J. Villain, J. Phys. I France 1, 19 (1991)

    Article  Google Scholar 

  31. J. Krug, M. Schimschak, J. Phys. I France 5, 1065 (1995)

    Article  Google Scholar 

  32. P. Politi, J. Phys. I France 7, 797 (1997)

    Article  Google Scholar 

  33. D.E. Wolf, in Scale invariance, interfaces, and non-equilibrium dynamics, edited by M. Droz, A.J. McKane, J. Vannimenus, D.E. Wolf (Plenum, New York 1994), pp. 215-248

  34. A.B. Bortz, M.H. Kalos, J.L. Lebowitz, J. Comput. Phys. 17, 10 (1975)

    Google Scholar 

  35. W.K. Burton, N. Cabrera, F.C. Frank, Phil. Trans. R. Soc. London, Ser. A 243, 299 (1951)

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Laboratory of Physics, PO Box 1100, 02015 HUT, Espoo, Finland

    M. Rusanen

  2. Department of Physical Sciences, University of Helsinki, PO Box 64, 00014, University of Helsinki, Finland

    M. Rusanen & I. T. Koponen

  3. Fachbereich Physik, Universität Essen, 45117, Essen, Germany

    J. Kallunki

Authors
  1. M. Rusanen
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  2. I. T. Koponen
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  3. J. Kallunki
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Correspondence to M. Rusanen.

Additional information

Received: 9 April 2003, Published online: 19 November 2003

PACS:

81.15.Aa Theory and models of film growth - 68.55.Ac Nucleation and growth: microscopic aspects - 81.16.Rf Nanoscale pattern formation

M. Rusanen: Present address: Institut Français du Pétrole, Groupe de Modélisation Moléculaire, BP 311, 92852 Rueil-Malmaison, France

J. Kallunki: Present address: Laboratory of Physics, PO Box 1100, FIN-02015 HUT, Espoo, Finland

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Rusanen, M., Koponen, I.T. & Kallunki, J. Mixing length scales: step meandering and island nucleation on vicinal surfaces. Eur. Phys. J. B 36, 141–147 (2003). https://doi.org/10.1140/epjb/e2003-00327-8

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  • DOI: https://doi.org/10.1140/epjb/e2003-00327-8

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