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Surface Reconstruction Phase Transformations

  • Roy F. Willis
Part of the Springer Series in Surface Sciences book series (SSSUR, volume 3)

Abstract

Clean single-crystal (metal) surfaces usually possess well-defined two-dimensional (2D) periodicities closely resembling the atomic ordering in the bulk. In some instances, however, the surfacelattice reconstructs into a phase with new symmetry. This can occur spontaneously with temperature, or it can be induced by small coverages of adsorbed atoms or molecules. The phase transformation may be reversible or irreversible. For example, Au (110) exhibits an irreversible reconstruction into a (2×1) superstructure once the clean surface has been prepared. This surface then undergoes a reversible order-disorder phase transition when the temperature is raised above a critical value, Tc = 700 [K]. Similarly, a carefully cleaned W (100) surface reconstructs into a (√2 × √2) lattice1 which also disorders reversibly at Tc = 300 [K]. A small quantity of chemisorbed hydrogen switches the symmetry of the atomic displacements from domains with p2mg space group symmetry to domains with c2mm symmetry, while maintaining a (√2 × √2) translational periodicity [2]. Increasing the amount of hydrogen produces a commensurate to incommensurate phase transformation which is reversible with coverage [3]. Clean Mo(100) reconstructs into a surface lattice which is incommensurate with the bulk substrate structure over a wide temperature range below 300 [K] [4]. Si (111) forms a (2×1) reconstructed lattice which transforms upon heating irreversibly into a (7×7) superlattice [5]. Surprisingly, the (7×7) structure exhibits a reversible order-disorder phase transition.

Keywords

Domain Wall Critical Exponent Atomic Displacement Landau Theory Antiphase Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    E.A. Wood: J. Appl. Phys. 35, 1306 (1964)CrossRefGoogle Scholar
  2. 2.
    D.A. King, G.Thomas: Surface Sci. 92, 201 (1980); R.A. Barker, P.J. Estrup: J. Chem. Phys. 74, 201 (1980)CrossRefGoogle Scholar
  3. 3.
    A.H. Smith, R.A. Barker, P.J. Estrup: Surface Sci. 136, 327 (1984)CrossRefGoogle Scholar
  4. 4.
    T.E. Felter: J. Vac. Sci. Technol. A2, 1006 (1984)Google Scholar
  5. 5.
    P.A. Bennet, M.B. Webb: Surface Sci. 104, 74 (1981)CrossRefGoogle Scholar
  6. 6.
    M.A. Van Hove, R.J. Koestner, P.C. Stair, J.P. Biberian, L.L. Kesmodel, I. Bartos, G.A. Somarjai: Surface Sci. 103, 189 (1981)CrossRefGoogle Scholar
  7. 7.
    B.E. Hayden, K.C. Prince, P.J. Davie, G. Paolucci, A,M. Bradshaw: Solid State Comm. 48, 325 (1983)CrossRefGoogle Scholar
  8. 8.
    For a review see: A. Kahn; Surface Sci. Reports 3, 193 (1983)CrossRefGoogle Scholar
  9. 9.
    For a review see: M. Schick; Progr. Surf. Sci. 11, 245 (1981)CrossRefGoogle Scholar
  10. 10.
    Recent reviews have appeared in: A. Thorny, X. Duval, J. Regnier; Surface Sci. Reports 1_, 1 (1981). Phase Transitions in Surface Films, eds. J.G. Dash, J. Ruvalds (NATO-ASI B51 — Plenum, New York 1980)CrossRefGoogle Scholar
  11. 11.
    See review by L.D. Roelofs, P.J. Estrup: Surface Sci. 125, 51 (1983)CrossRefGoogle Scholar
  12. 12.
    A.D. Bruce, R.A. Cowley: Structural Phase-Transitions (Taylor & Francis, London 1981)Google Scholar
  13. 13.
    L.D. Landau, E.M. Lifshitz: Statistical Physics (Pergammon, Oxford, U.K. 1980)Google Scholar
  14. 14.
    J.C. Campuzano, M.S. Foster, R.F. Willis, W.N. Unertl: to be published.Google Scholar
  15. 15.
    H.E. Stanley: Introduction to Phase-Transitions and Critical Phenomena (Oxford, U.K. 1971)Google Scholar
  16. 16.
    S.K. Ma: Modern Theory of Critical Phenomena (W.A. Benjamin, Mass., U.S.A. 1976)Google Scholar
  17. 17.
    I.K. Robinson: Phys. Rev. Letters 50, 1145 (1983)CrossRefGoogle Scholar
  18. 18.
    L.D. Roelofs, A.R. Korton, T.L. Einstein, R.L. Park: Phys. Rev. Letters 46, 1465 (1981)CrossRefGoogle Scholar
  19. 19.
    J.C. Campuzano, G. Jennings, A.M. Lahee in “Proc. ECOSS VI” (Surface Sci. in press 1984)Google Scholar
  20. 20.
    For example, see W.N. Unertl, S.R. McKay in “Proc. Conf. Determination of Surface Structure by LEED” eds. P.M. Marcus, F. Jona (Plenum, New York 1984). Also, M. Henzler in this proceedingsGoogle Scholar
  21. 21.
    M.S. Foster, J.C. Campuzano, R.F. Willis: Proc. Roy. Microscop. Society (London) in Press 1984Google Scholar
  22. 22.
    L.S. Ornstein, F. Zernike: Proc. Acad. Sci. Amst. 17, 793 (1914)Google Scholar
  23. 23.
    M.E. Fisher: J. Math. Phys. 5, 944 (1964)CrossRefGoogle Scholar
  24. 24.
    See S.C. Ying’s lecture in this proceedingsGoogle Scholar
  25. 25.
    M.K. Debe, D.A. King: Phys. Rev. Letters 39, 708 (1977); T.F. Felter, R.A. Barker, P.J. Estrup: Phys. Rev. Letters 38, 1138 (1977)CrossRefGoogle Scholar
  26. 26.
    P. Bak: Solid State Comm. 32, 581 (1979)CrossRefGoogle Scholar
  27. 27.
    L.D. Roelofs, G.Y. Hu, S.C. Ying: Phys. Rev. B28, 6369 (1983)Google Scholar
  28. 28.
    A.D. Bruce: Adv. in Physics 29, 111 (1980)CrossRefGoogle Scholar
  29. 29.
    R.F. Willis: Proc. ICSS-1, Berkeley, California (Springer, Berlin, in press 1984)Google Scholar
  30. 30.
    J.M. Kosterlitz, D.J. Thouless: J. Phys. C; Solid State Phys. 6, 1181 (1973)CrossRefGoogle Scholar
  31. 31.
    For a recent experimental review see, D.A. King: Physica Scripta T4, 34 (1983)CrossRefGoogle Scholar
  32. 32.
    A. Fasolino, G. Santoro, E. Tosatti: Phys. Rev. Letters 44, 1684 (1980); Surface Sci. 125, 317 (1983)CrossRefGoogle Scholar
  33. 33.
    W.L. McMillan: Phys. Rev. B12, 1187 and 1197 (1975); ibid B14, 1496 (1976); ibid B16, 643 (1977)Google Scholar
  34. 34.
    V. Heine, J.D.C. McConnel: Phys. Rev. Letters 46, 1092 (1981); J. Phys. C; Solid State Phys. 17, 1199 (1984)CrossRefGoogle Scholar
  35. 35.
    V. Heine: Statics and Dynamics of Non-Linear Systems eds. H. Bilz, G. Benedek, R. Zeyher (Springer, Berlin 1984)Google Scholar
  36. 36.
    R.F. Willis: Many Body Phenomena at Surfaces eds. D. Langreth, H. Suhl (Academic, New York 1984)Google Scholar
  37. 37.
    J. Villain, M.B. Gordon: Surface Sci. 125, 1 (1983)CrossRefGoogle Scholar
  38. 38.
    p. Bak: Rep. Prog. Phys. 45, 587 (1982)CrossRefGoogle Scholar
  39. 39.
    J. Villain: Ordering in Strongly Fluctuating Condensed Matter Systems ed. T. Riste (NATO-ASI 50B — Plenum, New York 1980)Google Scholar
  40. 40.
    A.D. Bruce, R.A. Cowley, A.F. Murray: J. Phys. C; Solid State Phys. 11, 3577; 3591; 3609 (1978)CrossRefGoogle Scholar
  41. 41.
    A.H. Smith, R.A. Barker, P.J. Estrup: Surface Sci. 136, 327 (1984)CrossRefGoogle Scholar
  42. 42.
    P. Bak, V.L. Pokrovsky: Phys. Rev. Lett. 47, 958 (1981)CrossRefGoogle Scholar
  43. 43.
    J.F. Wendelken, G.C. Wang: J. Vac. Sci. Technol. A2, 886 (1984)Google Scholar
  44. 44.
    S. Aubry: Solitons and Condensed Matter Physics eds. A.R. Bishop, T. Schneider (Springer, Berlin 1979)Google Scholar
  45. 45.
    M. Grunze, P.H. Kleben, W.N. Unertl, F.S. Rys: Phys. Rev. Lett. 51, 582 (1983)CrossRefGoogle Scholar
  46. 46.
    See recent article by G.V. Kozlov, A.A. Volkov: Europhysics News 15, No7 (1984)Google Scholar
  47. 47.
    V.L. Pokrovsky, A.L. Talapov: Zh. Eksp. Teor. Fiz. 75, 1151 (1978); ibid 78, 269. Also with W.L. McMillan: Sov. Phys. JETP 51, (1) 134 (1980)Google Scholar
  48. 48.
    A.D. Novaco: Phys. Rev. B22, 1645 (1980)Google Scholar
  49. 49.
    A.W. Overhauser: Phys. Rev. B3, 3173 (1971)Google Scholar
  50. 50.
    G.K. Binnig, H. Rohrer, Ch. Gerber, E. Stoll; Surface Sci. 144, 321 (1984)CrossRefGoogle Scholar
  51. 51.
    A.D. Novaco, J.P. McTague: Phys. Rev. Lett. 38, 1286 (1977)CrossRefGoogle Scholar
  52. 52.
    Following the argument of E. Tosatti: Modern Trends in the Theory of Condensed Matter eds A. Pekalski, J. Przystawa (Springer, Berlin 1980)Google Scholar
  53. 53.
    For example, E. McRae: Proc ICSS-1 Berkeley, California (Springer, Berlin, in press 1984)Google Scholar
  54. 54.
    For example, W. Goldammer, VI. Ludwig, W. Zierau, C. Falter: Surface Sci. 141, 139 (1984)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Roy F. Willis
    • 1
  1. 1.Cavendish Laboratory, Department of PhysicsUniversity of CambridgeCambridgeUK

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