Island growth in submonolayer deposition with aggregation and fragmentation

Article

Abstract.

Island growth is studied in the case of island aggregation and break-up during submonolayer deposition. It is demonstrated that the island size distributions are of the scaling form and the mean island size has a power-law behaviour corresponding to hyperthermal deposition conditions. The corresponding scaling exponents are analytically derived and compared with the simulations by the revised particle coalescence method developed here. The scaling exponents are found to depend only on the homogeneity exponents of aggregation and fragmentation kernels.

Keywords

Deposition Condition Island Size Scaling Exponent Island Growth Particle Coalescence 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J.A. Venables, Philos. Mag. 27, 697 (1973); J.A. Venables, Hanbuücken, Rep. Prog. Phys. 47, 399 (1984)Google Scholar
  2. 2.
    M.C. Bartelt, J.W. Evans, Phys. Rev. B 46, 12675 (1992)CrossRefGoogle Scholar
  3. 3.
    G.S. Bales, D.C. Chrzan, Phys. Rev. B 50, 6057 (1994); Phys. Rev. Lett. 74, 4879 (1995)CrossRefGoogle Scholar
  4. 4.
    P.L. Krapivsky, J.F.F. Mendes, S. Redner, Eur. Phys. J. B 4, 401 (1998); P.L. Krapivsky, J.F.F. Mendes, S. Redner, Phys. Rev. B 59, 15 950 (1999)CrossRefGoogle Scholar
  5. 5.
    L. Kuipers, R.E. Palmer, Phys. Rev. B 53, R7646 (1996)Google Scholar
  6. 6.
    P.A. Mulheran D.A. Robbie, Phys. Rev. B 64, 115402 (2001)CrossRefGoogle Scholar
  7. 7.
    G.S. Bales, D.C. Chrzan, Phys. Rev. B 50, 6057 (1997); C. Ratsch, A. Zangwill, P. Smilauer, D.D. Vvedensky, Phys. Rev. Lett. 72, 3194 (1994)CrossRefGoogle Scholar
  8. 8.
    J.M. Pomeroy, J. Jacobsen, C.C. Hill, B.H. Cooper, J.P. Sethna, Phys. Rev. B 66, 235412 (2002)CrossRefGoogle Scholar
  9. 9.
    J. Jacobsen, B.H. Cooper, J.P. Sethna, Phys. Rev. B 58, 15847 (1998)CrossRefGoogle Scholar
  10. 10.
    I. Koponen, M. Rusanen, J. Heinonen, Phys. Rev. E 58, 4037 (1998)CrossRefGoogle Scholar
  11. 11.
    M. Kalf, M. Breeman, M. Morgenstern, T. Michely, G. Comsa, Appl. Phys. Lett. 70, 182 (1997); S. Esch, M. Bott, T. Michely, G. Comsa, Appl. Phys. Lett. 67, 3209 (1995); S. Esch, M. Breeman, M. Morgenstern, T. Michely, G. Comsa, Surf. Sci. 365, 187 (1996); T. Michely, G. Comsa, Phys. Rev. B 44, 8411 (1991); T. Michely, C. Teichert, Phys. Rev. B 50, 11156 (1994)CrossRefGoogle Scholar
  12. 12.
    B. Degroote, A. Vantomme, H. Pattyn, K. Vanormelingen, Phys. Rev. 65, 195401 (2002)CrossRefGoogle Scholar
  13. 13.
    S.V. Khare, N.C. Bartelt, T.L. Einstein, Phys. Rev. Lett. 75, 2148 (1995); S.V. Khare, T.L. Einstein, Phys. Rev. B 57, 4782 (1998); J. Heinonen, I. Koponen, J. Merikoski, T. Ala-Nissila, Phys. Rev. Lett. 82, 2733 (1999)CrossRefGoogle Scholar
  14. 14.
    W.W. Pai, A.K. Swan, Z. Zhang, J.F. Wendelken, Phys. Rev. Lett. 79, 3210 (1997); J.-M. Wen, S.-L. Chang, J.W. Burnett, J.W. Evans, P.A. Thiel, Phys. Rev. Lett. 73, 2591 (1994); K. Morgenstern, G. Rosenfeld, B. Poelsema, G. Comsa, Phys. Rev. Lett. 74, 2058 (1995); K. Morgenstern, G. Rosenfeld, G. Comsa, Phys. Rev. Lett. 76, 2113 (1996)CrossRefGoogle Scholar
  15. 15.
    A. Wucher, A.D. Bekkerman, N.K. Dzhemilev, S.V. Verkhoturov, I.V. Veryovkin, Nucl. Instr. Meth. B 140, 311 (1998); A. Wucher, N.K. Dzhemilev, I.V. Veryovkin, S.V. Verkhoturov, Nucl. Instr. Meth. B 149, 285 (1999); S. Becker, Comp. Mat. Sci. 2, 633 (1994)CrossRefGoogle Scholar
  16. 16.
    P. Blandin, C. Massobrio, P. Ballone, Phys. Rev. Lett. 72, 3072 (1994)CrossRefGoogle Scholar
  17. 17.
    K. Kyuno, G. Ehrlich, Phys. Rev. Lett. 84, 2658 (2000)CrossRefGoogle Scholar
  18. 18.
    S. Liu, L. Bonig, H. Metiu, Phys. Rev. B 52, 2907 (1995); M.C. Bartelt, S. Gunther, E. Kopatzki, R.J. Behm, J.W. Evans, Phys. Rev. B 53, 4099 (1996); I. Furman, O. Biham, Phys. Rev. B 55, 7917 (1997)CrossRefGoogle Scholar
  19. 19.
    P. Meakin, M.H. Ernst, Phys. Rev. Lett. 60, 2503 (1988)CrossRefGoogle Scholar
  20. 20.
    K. Kang, S. Redner, Phys. Rev. A 30, 2833 (1984); Phys. Rev. Lett. 52, 955 (1984); K. Kang, S. Redner, P. Meakin, F. Leyvraz, Phys. Rev. A 33, 1171 (1986)CrossRefGoogle Scholar
  21. 21.
    H. Wright, D. Ramkrishna, Phys. Rev. E 47, 3225 (1993)CrossRefGoogle Scholar
  22. 22.
    L. Bitar, P.A. Serena, P. Garc\’ia-Mochales, N. Garc\’ia, V.T. Binh, Surf. Sci. 339, 221 (1995)CrossRefGoogle Scholar
  23. 23.
    J. Sillanpää, I. Koponen, Nucl. Instr. Meth. B 142, 67 (1998)Google Scholar
  24. 24.
    J.G. Amar, F. Family, P.-U. Lam, Phys. Rev. B 50, 8781 (1994)CrossRefGoogle Scholar
  25. 25.
    C.M. Sorensen, H.X. Zhang, T.W. Taylor, Phys. Rev. Lett. 59, 363 (1987); R.D. Vigil, R.M. Ziff, Phys. Rev. Lett. 61, 1431 (1988)CrossRefGoogle Scholar
  26. 26.
    E. Adam, L. Billard, F. Lançon, Phys. Rev. E 59, 1212 (1999)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  1. 1.Laboratory of PhysicsEspooFinland
  2. 2.Department of Physical SciencesUniversity of HelsinkiFinland

Personalised recommendations