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Scale Invariance, Interfaces, and Non-Equilibrium Dynamics pp 215–248Cite as

Computer simulation of molecular beam epitaxy

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Part of the book series: NATO ASI Series ((NSSB,volume 344))

Abstract

This book contains many examples of scale invariance emerging from non-equilibrium dynamics, like patterns precipitating from a diffusion field, domain growth, kinetic roughening and turbulence. Molecular Beam Epitaxy (MBE), while pursued mainly because of its technical importance, combines several of these phenomena in a unique fashion, and therefore provides an attractive testing ground for theoretical concepts.

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References

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

    Article  Google Scholar 

  2. V. Fuenzalida, Phys. Rev. B 44, 10835 (1991).

    Article  ADS  Google Scholar 

  3. C. W. Snyder, J. F. Mansfield, B. G. Orr, Phys. Rev. B 46, 9551 (1992).

    Article  ADS  Google Scholar 

  4. E. Bauer, Z. Kristallogr. 110, 372 (1958).

    Article  Google Scholar 

  5. C. W. Snyder, B. G. Orr, H. Munekata, Applied Phys. Lett. 62, 46 (1993).

    Article  ADS  Google Scholar 

  6. I. Elkinani and J. Villain, Solid State Comm. 87, 105 (1993).

    Article  ADS  Google Scholar 

  7. I. Elkinani and J. Villain, J. Phys. I (France) 4, 949 (1994).

    Article  Google Scholar 

  8. M. Siegert, contribution in this book, Sec. 7.

    Google Scholar 

  9. L. Sander, contribution in this book.

    Google Scholar 

  10. J. Krug, contribution in this book.

    Google Scholar 

  11. B. G. Orr, J. Sudijono, M. D. Johnson, in: Common Themes and Mechanisms of Epitaxial Growth, eds. P. Fuoss, J. Tsao, D. W. Kisker, A. Zangwill, T. Kuech (MRS, Pittsburgh, 1993) p.15.

    Google Scholar 

  12. J. A. Venables, G. D. Spiller, M. Hanbücken, Rep. Prog. Phys. 47, 399 (1984).

    Article  ADS  Google Scholar 

  13. S. Stoyanov and D. Kashchiev, in Current topics in material science, Vol.7, ed. E. Kaldis (North Holland, Amsterdam, 1981).

    Google Scholar 

  14. S. V. Ghaisas, S. Das Sarma, Phys. Rev. B 46, 7308 (1992).

    Article  ADS  Google Scholar 

  15. L. H. Tang, J. Physique I 3, 935 (1993).

    Article  ADS  Google Scholar 

  16. Y. W. Mo, J. Kleiner, M. B. Webb, M. Lagally, Phys. Rev. Lett. 66, 1998 (1991).

    Article  ADS  Google Scholar 

  17. Y. W. Mo, J. Kleiner, M. B. Webb, M. Lagally, Phys. Rev. Lett. 69, 986 (1992).

    Article  ADS  Google Scholar 

  18. J.-K. Zou, J. F. Wendelken, H. Dürr, C.-L. Liu, Phys. Rev. Lett. 72, 3064 (1994).

    Article  ADS  Google Scholar 

  19. S. Günther, E. Kopatzki, M. C. Bartelt, J. W. Evans, and R. J. Behm, Phys. Rev. Lett. 73, 553 (1994).

    Article  ADS  Google Scholar 

  20. J. A. Blackman, A. Wilding, Europhys. Lett. 16, 115 (1991).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. J. H. Neave, P. J. Dobson, J. Zhang, B. A. Joyce, Appl. Phys. Lett. 47, 100 (1985).

    Article  ADS  Google Scholar 

  23. E. Somfai, D. E. Wolf, J. Kertész, preprint (1994).

    Google Scholar 

  24. L. Brendel, diploma thesis, Universität Duisburg (1994).

    Google Scholar 

  25. F. Family, T. Vicsek (eds.), Dynamics of Fractal Surfaces (World Scientific, Singapore, 1991).

    MATH  Google Scholar 

  26. R. Jullien, J. Kertész, P. Meakin, D. E. Wolf (eds.), Surface Disordering: Growth, Roughening and Phase Transitions, (Nova Science, Commack, 1992).

    Google Scholar 

  27. J. Kertész, T. Vicsek, J. Phys. A19, L257 (1986).

    Google Scholar 

  28. J. Kertész, D. E. Wolf, J. Phys. A21, 747 (1988).

    ADS  Google Scholar 

  29. A. Pimpinelli, J. Villain, D. E. Wolf, J. Phys. I France 3, 447 (1993).

    Article  Google Scholar 

  30. R. Q. Hwang, J. Schröder, C. Günther, R. J. Behm, Phys. Rev. Lett. 67, 3279 (1991).

    Article  ADS  Google Scholar 

  31. M. Bott, T. Michely, G. Comsa, Surf. Sci. 272, 161 (1992).

    Article  ADS  Google Scholar 

  32. G. Rosenfeld, A. F. Becker, B. Poelsema, L. K. Verheij, G. Comsa, Phys. Rev. Lett. 69, 917 (1992).

    Article  ADS  Google Scholar 

  33. M. C. Bartelt, J. W. Evans, Phys. Rev. B46, 12675 (1992).

    ADS  Google Scholar 

  34. M. C. Bartelt, J. W. Evans, Phys. Rev. B47, 13891 (1993).

    ADS  Google Scholar 

  35. S. Clarke, D. D. Vvedensky, J. Appl. Phys. 63, 2272 (1988).

    Article  ADS  Google Scholar 

  36. T. Shitara, D. D. Vvedensky, M. R. Wilby, J. Zhang, J. H. Neave, B. A. Joyce, Phys. Rev. B 46, 6815, 6825 (1992).

    Article  ADS  Google Scholar 

  37. C. Ratsch, A. Zangwill, P. Smilauer, D. D. Vvedensky, Phys. Rev. Lett. 72, 3194 (1994).

    Article  ADS  Google Scholar 

  38. S. Pal, D. P. Landau, Proceedings of CAMSE, Yokohama (1992).

    Google Scholar 

  39. J. G. Amar, F. Family, Preprint July 1994

    Google Scholar 

  40. J. Villain, A. Pimpinelli, D. E. Wolf, Comments Cond. Mat. Phys. 16, 1 (1992).

    Google Scholar 

  41. J. Villain, A. Pimpinelli, L.-H. Tang, D. E. Wolf, J. Phys. I France 2, 2107 (1992).

    Article  Google Scholar 

  42. M. Zinke-Allmang, L. C. Feldman, S. Nakahara, in: Kinetics of Ordering and Growth at Surfaces, ed. M. G. Lagally (Plenum Press, New York, 1990).

    Google Scholar 

  43. A. Pimpinelli, J. Villain, D. E. Wolf, Phys. Rev. Lett. 69, 985 (1992).

    Article  ADS  Google Scholar 

  44. M. Schroeder, D. E. Wolf, preprint (1994).

    Google Scholar 

  45. J. W. Evans, M. C. Bartelt, J. Vac. Sci. Technol. A 12, 1800 (1994).

    Article  ADS  Google Scholar 

  46. M. Rogulla, diploma thesis, Universität Duisburg (1994).

    Google Scholar 

  47. P. Jensen, A.-L. Barabási, H. Larralde, S. Havlin, H. E. Stanley, Phys. Rev. E (1994).

    Google Scholar 

  48. J. A. Stroscio, D. T. Pierce, Phys. Rev. B49, 8522 (1994).

    Google Scholar 

  49. O. G. Mouritsen, in: Kinetics of Ordering and Growth at Surfaces, éd. M. G. Lagally (Plenum Press, New York, 1990).

    Google Scholar 

  50. D. Stauffer, A. Aharony, Introduction to Percolation Theory (Taylor & Francis, London, 1992).

    Google Scholar 

  51. G. S. Bales, D. C. Chrzan, Phys. Rev. B Sept. 1 (1994).

    Google Scholar 

  52. J. G. Amar, F. Family, P. M. Lam, Preprint March 1994.

    Google Scholar 

  53. M. Schroeder (1993), unpublished.

    Google Scholar 

  54. E. Somfai (1994), unpublished.

    Google Scholar 

  55. J. Krug, M. Plischke, M. Siegert, Phys. Rev. Lett. 70, 3271 (1993).

    Article  ADS  Google Scholar 

  56. D. E. Wolf, J. Villain, Europhys. Lett. 13, 389 (1990).

    Article  ADS  Google Scholar 

  57. Z. W. Lai, S. Das Sarma, Phys. Rev. Lett. 66, 2348 (1991).

    Article  ADS  Google Scholar 

  58. L.-H. Tang, T. Nattermann, Phys. Rev. Lett. 66, 2899 (1991).

    Article  ADS  Google Scholar 

  59. K. Moser, D. E. Wolf, in24, p 21.

    Google Scholar 

  60. L.-H. Tang, in NATO ASI series: Growth Patterns in Physical Sciences and Biology, edited by J. M. Garcia-Ruiz, E. Louis, P. Meakin and L. M. Sander, (Plenum, New York, 1992), p. 99–108.

    Google Scholar 

  61. P. Meakin, P. Ramanlal, L. M. Sander, R. C. Ball, Phys. Rev. A 34, 5090 (1986).

    ADS  Google Scholar 

  62. M. Schroeder, M. Siegert, D. E. Wolf, J. D. Shore, M. Plischke, Europhys. Lett. 24, 563 (1993).

    Article  ADS  Google Scholar 

  63. S. Das Sarma, P. I. Tamborenea, Phys. Rev. Lett. 66, 325 (1991).

    Article  ADS  Google Scholar 

  64. S. F. Edwards, D. R. Wilkinson, Proc. R. Soc. Lond. A 381, 17 (1982).

    Article  MathSciNet  ADS  Google Scholar 

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Author information

Authors and Affiliations

  1. HLRZ, Forschungszentrum Jülich, D-52425, Jülich, Germany

    Dietrich E. Wolf

  2. FB10, Gerhard-Mercator-Universität Duisburg, D-47048, Duisburg, Germany

    Dietrich E. Wolf

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  1. Dietrich E. Wolf
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Editor information

Editors and Affiliations

  1. University of Manchester, Manchester, England

    Alan McKane

  2. University of Geneva, Geneva, Switzerland

    Michel Droz

  3. Ecole Normale Supérieure, Paris, France

    Jean Vannimenus

  4. Gerhard-Mercator-Universität, Duisburg, Germany

    Dietrich Wolf

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© 1995 Springer Science+Business Media New York

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Wolf, D.E. (1995). Computer simulation of molecular beam epitaxy. In: McKane, A., Droz, M., Vannimenus, J., Wolf, D. (eds) Scale Invariance, Interfaces, and Non-Equilibrium Dynamics. NATO ASI Series, vol 344. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1421-7_9

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  • DOI: https://doi.org/10.1007/978-1-4899-1421-7_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1423-1

  • Online ISBN: 978-1-4899-1421-7

  • eBook Packages: Springer Book Archive

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