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Size selected growth of nanodots: analytical prediction for the selected size

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Abstract

In size selected growth of metal and semiconductor nanodots the selected mean size is frequently larger than the size corresponding to the minimum of free energy of dots. This “overshooting” effect is studied here using a reaction kinetic model with size dependent growth kinetics in adatom processes and thermodynamical free energy difference of nanodots. We calculate analytical prediction for the selected mean size of the dots using stationary state approximation. It is shown, that the overshooting depends on the skewness of the Gaussian size distribution.

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References

  1. F. Rosei, J. Phys.: Condens. Matter 16, S1373 (2004)

    Article  ADS  Google Scholar 

  2. D.L. Leslie-Pelecky, R.D. Rieke, Chem. Mater. 8, 1770 (1996)

    Article  Google Scholar 

  3. G.Y. Yurkov, D.A. Baranov, I.P. Dotsenko, S.P. Gubin, Composites: Part B 37, 413 (2006)

    Article  Google Scholar 

  4. M. Meixner, E. Schöll, V.A. Shchukin, D. Bimberg, Phys. Rev. Lett. 87, 236101 (2001)

    Article  ADS  Google Scholar 

  5. M. Meixner, R. Kunert, E. Schöll, Phys. Rev. B 67, 195301 (2003)

    Article  ADS  Google Scholar 

  6. D.J. Eaglesham, M. Cerullo, Phys. Rev. Lett. 64, 1943 (1990)

    Article  ADS  Google Scholar 

  7. C. Priester, M. Lannoo, Phys. Rev. Lett. 75, 93 (1995)

    Article  ADS  Google Scholar 

  8. K. Pirkkalainen, I.T. Koponen, Surf. Sci. 604, 951 (2010)

    Article  ADS  Google Scholar 

  9. T.P. Munt, D.E. Jesson, V.A. Shchukin, D. Bimberg, Phys. Rev. B 75, 085422 (2007)

    Article  ADS  Google Scholar 

  10. K.A. Riekki, I.T. Koponen, Eur. Phys. J. B 56, 311 (2007)

    Article  ADS  Google Scholar 

  11. F. Liu, A.H. Li, M.G. Lagally, Phys. Rev. Lett. 87, 126103 (2001)

    Article  ADS  Google Scholar 

  12. F. Liu, Phys. Rev. Lett. 89, 246105 (2002)

    Article  ADS  Google Scholar 

  13. Z. Gai, B. Wu, G.A. Farnan, D. Shu, M. Wang, Z. Zhang, J. Shen, Phys. Rev. Lett. 89, 235502 (2002)

    Article  ADS  Google Scholar 

  14. K. Pirkkalainen, K.A. Riekki, I.T. Koponen, Comput. Mater. Sci. 43, 325 (2008)

    Article  Google Scholar 

  15. G.S. Bales, A. Zangwill, Phys. Rev. B 55, R1973 (1997)

    Article  ADS  Google Scholar 

  16. K.-O. Ng, D. Vanderbilt, Phys. Rev. B 52, 2177 (1995)

    Article  ADS  Google Scholar 

  17. R. Becker, W. Döring, Ann. Phys. 4, 719 (1935)

    Article  Google Scholar 

  18. D. Kaschiev, Cryst. Res. Technol. 19, 1413 (1984)

    Article  Google Scholar 

  19. J.J.L. Velázquez, J. Stat. Phys. 92, 195 (1998)

    Article  MATH  Google Scholar 

  20. R. Corless, G. Gonnet, D. Hare, D. Jeffrey, D. Knuth, Adv. Comput. Mater. 5, 329 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  21. H. Vehkamäki, Classical Nucleation Theory in Multicomponent Systems (Springer, Berlin, Heidelberg, 2006)

  22. J. Merikanto, H. Vehkamäki, E. Zapadinsky, J. Chem. Phys. 121, 914 (2004)

    Article  ADS  Google Scholar 

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Correspondence to K. A. Riekki.

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Riekki, K.A. Size selected growth of nanodots: analytical prediction for the selected size. Eur. Phys. J. B 85, 185 (2012). https://doi.org/10.1140/epjb/e2012-30324-7

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  • DOI: https://doi.org/10.1140/epjb/e2012-30324-7

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