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Energetics of Si(001)

H. J. W. Zandvliet

H. J. W. Zandvliet

  • Faculty of Applied Physics and MESA+ Research Institute, University of Twente, 7500 AE Enschede, The Netherlands

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Rev. Mod. Phys. 72, 593 – Published 1 April, 2000

DOI: https://doi.org/10.1103/RevModPhys.72.593

Abstract

A classical thermodynamic description of a surface requires the introduction of a number of energetic parameters related to the surface steps. These parameters are the step free energy, the kink creation energy, and the energetic and entropic interactions between steps. This review will demonstrate how a statistical analysis of scanning tunneling microscopy images of stepped surfaces can provide appropriate values of these fundamental energetic parameters. The Si(001) surface is used as a model system. In order to illustrate the significance of these energetic parameters, two morphological surface phase transitions are discussed, namely, the thermal roughening transition and the orientational phase diagram.

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References (63)

  1. Alerhand, O. L., D. Vanderbilt, R. D. Meade, and J. D. Joannopoulos, 1988, Phys. Rev. Lett. 61, 1973.
  2. Alerhand, O. L., A. Nihat Berker, J. D. Joannopoulos, D. Vanderbilt, R. J. Hamers, and J. E. Demuth, 1990, Phys. Rev. Lett. 64, 2406.
  3. Alerhand, O. L., A. Nihat Berker, J. D. Joannopoulos, D. Vanderbilt, R. J. Hamers, and J. E. Demuth, 1991, Phys. Rev. Lett. 66, 962.
  4. Aumann, C. E., D. E. Savage, R. Kariotis, and M. G. Lagally, 1988, J. Vac. Sci. Technol. A 6, 1963.
  5. Bak, P., and R. Bruinsma, 1982, Phys. Rev. Lett. 49, 249.
  6. Bartelt, N. C., T. L. Einstein, and E. D. Williams, 1990, Surf. Sci. 240, L591.
  7. Bartelt, N. C., T. L. Einstein, and C. Rottman, 1991, Phys. Rev. Lett. 66, 961.
  8. Bartelt, N. C., T. L. Einstein, and E. D. Williams, 1992a, Surf. Sci. 276, 308.
  9. Bartelt, N. C., T. L. Einstein, and E. D. Williams, 1992b, Surf. Sci. 273, 252.
  10. Bartelt, N. C., and R. M. Tromp, 1996, Phys. Rev. B 54, 11731.
  11. Bartelt, N. C., R. M. Tromp, and E. D. Williams, 1994, Phys. Rev. Lett. 73, 1656.
  12. Binnig, G., and H. Rohrer, 1982, Helv. Phys. Acta 55, 726.
  13. Binnig, G., H. Rohrer, H. Gerber, and E. Weibel, 1982a, Appl. Phys. Lett. 40, 178.
  14. Binnig, G., H. Rohrer, H. Gerber, and E. Weibel, 1982b, Phys. Rev. Lett. 49, 57.
  15. Bowler, D. R., and M. G. Bowler, 1998, Phys. Rev. B 57, 15385.
  16. Burton, W. K., N. Cabrera, and F. C. Frank, 1951, Philos. Trans. R. Soc. London, Ser. A 243, 299.
  17. Chadi, D. J., 1987, Phys. Rev. Lett. 59, 1691.
  18. Dey, S., S. Kiriukhin, J. West, and E. Conrad, 1996, Phys. Rev. Lett. 77, 530.
  19. Dijkkamp, D., A. J. Hoeven, E. J. van Loenen, J. M. Lenssinck, and J. Dieleman, 1990, Appl. Phys. Lett. 56, 39.
  20. Eaglesham, D. J., A. E. White, L. C. Feldman, N. Moriya, and D. C. Jacobson, 1993, Phys. Rev. Lett. 70, 1643; 1994, 72, 1392(E); 1994, 72, 2975(E).
  21. Fisher, M. E., and D. S. Fisher, 1982, Phys. Rev. B 25, 3192.
  22. Gibbs, J. W., 1957, The Collected Works of J. Willard Gibbs (Yale University, New Haven, CT), Vol. 1.
  23. Griffith, J. E., and G. P. Kochanski, 1990, Crit. Rev. Solid State Mater. Sci. 16, 255.
  24. Gruber, E. E., and W. W. Mullins, 1967, J. Phys. Chem. Solids 28, 875.
  25. Hamers, R. J., R. M. Tromp, and J. E. Demuth, 1986, Phys. Rev. B 34, 5343.
  26. Hegeman, P. E., H. J. W. Zandvliet, G. A. M. Kip, B. A. G. Kersten, and B. Poelsema, 1995, Surf. Sci. 331-333, 1110.
  27. Herring, C., 1951, Phys. Rev. 82, 87.
  28. Jeong, H.-C., and E. D. Williams, 1999, Surf. Sci. Rep. 34, 171–294.
  29. Joós, B., T. L. Einstein, and N. C. Bartelt, 1991, Phys. Rev. B 43, 8153.
  30. Kitamura, N., B. S. Swartzentruber, M. G. Lagally, and M. B. Webb, 1993, Phys. Rev. B 48, 7504.
  31. Laracuente, A., and L. J. Whitman, 2000, unpublished.
  32. Liu, F., and M. G. Lagally, 1997, in The Chemical Physics of Solid Surfaces, edited by D. A. King and D. P. Woodruff (Elsevier, Amsterdam), Vol. 8, p. 258.
  33. Marchenko, V. I., 1981, Pis’ma Zh. Eksp. Teor. Fiz. 33, 397 [JETP Lett. 33, 381 (1981)].
  34. Markov, I. V., 1995, Crystal Growth for Beginners (World Scientific, Singapore), p. 222.
  35. Mètois, J. J., and D. E. Wolf, 1993, Surf. Sci. 298, 71.
  36. Müller, E. W., 1951, Z. Phys. 131, 136.
  37. Onsager, L., 1944, Phys. Rev. 65, 117.
  38. Oshiyama, A., 1995, Phys. Rev. Lett. 74, 130.
  39. Pearson, C., B. Borovsky, M. Krueger, R. Curtis, and E. Ganz, 1995, Phys. Rev. Lett. 74, 2710.
  40. Pehlke, E., and J. Tersoff, 1991a, Phys. Rev. Lett. 67, 465.
  41. Pehlke, E., and J. Tersoff, 1991b, Phys. Rev. Lett. 67, 1290.
  42. Pimpinelli, A., and J. J. Mètois, 1994, Phys. Rev. Lett. 72, 3566.
  43. Poon, T. Z., S. Yip, P. S. Ho, and F. F. Abraham, 1990, Phys. Rev. Lett. 65, 2161.
  44. Poon, T. Z., S. Yip, P. S. Ho, and F. F. Abraham, 1992, Phys. Rev. B 45, 3521.
  45. Schlier, R. E., and H. E. Farnsworth, 1959, J. Chem. Phys. 30, 917.
  46. Schlüter, M., 1988, in The Chemical Physics of Solid Surfaces and Heterogeneous Catalysis, edited by D. A. King and D. P. Woodruff (Elsevier, Amsterdam), Vol. 8, p. 37.
  47. Swartzentruber, B. S., Y.-W. Mo, R. Kariotis, M. G. Lagally, and M. B. Webb, 1990, Phys. Rev. Lett. 65, 1913.
  48. Swartzentruber, B. S., N. Kitamura, M. G. Lagally, and M. B. Webb, 1993, Phys. Rev. B 47, 13432.
  49. Swartzentruber, B. S., and M. Schact, 1995, Surf. Sci. 322, 83.
  50. Tromp, R. M., 1993, Phys. Rev. B 47, 7598.
  51. Tromp, R. M., R. J. Hamers, and J. E. Demuth, 1985, Phys. Rev. Lett. 55, 1303.
  52. Tromp, R. M., and M. C. Reuter, 1992, Phys. Rev. Lett. 68, 820.
  53. Tsong, T. T., 1988, Rep. Prog. Phys. 51, 759.
  54. Villain, J., D. R. Grempel, and J. Lapujoulade, 1985, J. Phys. F 15, 809.
  55. Wierenga, P. E., J. A. Kubby, and J. E. Griffith, 1987, Phys. Rev. Lett. 59, 2169.
  56. Williams, E. D., 1994, Surf. Sci. 299/300, 502.
  57. Williams, E. D., and N. C. Bartelt, 1991, Science 251, 393.
  58. Zandvliet, H. J. W., and H. B. Elswijk, 1993, Phys. Rev. B 48, 14269.
  59. Zandvliet, H. J. W., H. B. Elswijk, E. J. van Loenen, and D. Dijkkamp, 1992, Phys. Rev. B 45, 5965.
  60. Zandvliet, H. J. W., H. K. Louwsma, P. E. Hegeman, and B. Poelsema, 1995, Phys. Rev. Lett. 75, 3890.
  61. Zandvliet, H. J. W., S. van Dijken, and B. Poelsema, 1996, Phys. Rev. B 53, 15429.
  62. Zandvliet, H. J. W., E. J. van Loenen, and H. B. Elswijk, 1992, Surf. Sci. 272, 264.
  63. Zandvliet, H. J. W., H. Wormeester, D. J. Wentink, A. van Silfhout, and H. B. Elswijk, 1993, Phys. Rev. Lett. 70, 2122.

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Rev. Mod. Phys. 72, 593– Published 1 April, 2000

    © 2000 American Physical Society

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