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Zeitschrift für Physik B Condensed Matter

, Volume 53, Issue 3, pp 221–231 | Cite as

Rectangular lattice gas model with competing interactions and the two-dimensional ANNNI model in a field

  • P. Rujan
  • W. Selke
  • G. V. Uimin
Article

Abstract

A lattice gas model with short range competing interactions for adsorption on (110) surfaces of fcc crystals, in particular for O/Pd(110), as well as its Ising analog, the two-dimensional ANNNI model with antiferromagnetic axial nearest and next-nearest neighbour interactions in a field, are studied using the free fermion approximation and Monte Carlo techniques. The phase diagrams display different commensurate phases and incommensurate regions. Static and dynamic aspects of topological defects (walls and dislocations) characterising the incommensurate structures are investigated.

Keywords

Neural Network Phase Diagram Complex System Nonlinear Dynamics Short Range 
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.
    Villain, J.: Ordering in strongly fluctuating condensed matter systems, Geilo, 1979. Riste T. (ed.). New York: Plenum Press 1980Google Scholar
  2. 1a.
    Bak, P.: Rep. Prog. Phys.45, 587 (1982)Google Scholar
  3. 1b.
    Fisher, M.E., Huse, D.A.: Melting, localization and chaos. Kalia, R.K., Vashishta, P. (eds.), p. 259. New York: Elsevier 1982Google Scholar
  4. 2.
    Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980); Philos. Transact. R. Soc.302, 1 (1981)Google Scholar
  5. 3.
    Selke, W., Fisher, M.E.: Phys. Rev. B21, 257 (1979)Google Scholar
  6. 3a.
    Bak, P., von Boehm, J.: Phys. Rev. B21, 5297 (1980)Google Scholar
  7. 4.
    Selke, W.: Modulated structure materials, Crete 1983. Tsakalakos, T. (ed.); Selke, W., Binder, K.: Ferroelectrics (to be published 1984); see also: Kulik, J., de Fontaine, D.: Preprint (1983)Google Scholar
  8. 5.
    Pokrovsky, V.L., Uimin, G.V.: J. Phys. C15, L353 (1982); Zh. Eksp. Teor. Fiz.82, 1640 (1982)Google Scholar
  9. 6.
    Uimin, G.V.: J. Phys. (Paris)43, L665 (1982)Google Scholar
  10. 7.
    Smith, J., Yeomans, J.M.: J. Phys. C15, L1053 (1982)Google Scholar
  11. 7a.
    Yokoi, C.S.O., Coutinho-Filho, M.D., Salinas, S.R.: Phys. Rev. B24, 4047 (1981)Google Scholar
  12. 7b.
    Öttinger, H.C.: J. Phys. A16, 1483 (1983)Google Scholar
  13. 7c.
    Smith, J., Yeomans, J.: J. Phys. C16, 5305 (1983)Google Scholar
  14. 7d.
    Uimin, G.V.: J. Stat. Phys. (to be published 1983)Google Scholar
  15. 8.
    Ertl, G., Küppers, J.: Surf. Sci.21, 61 (1970)Google Scholar
  16. 9.
    Hornreich, R.M., Liebmann, R., Schuster, H.G., Selke, W.: Z. Phys. B — condensed Matter35, 91 (1979)Google Scholar
  17. 9a.
    Selke, W., Fisher, M.E.: Z. Phys. B — Condensed Matter40, 71 (1980)Google Scholar
  18. 9b.
    Selke, W.: Z. Phys. B — Condensed Matter43, 335 (1981)Google Scholar
  19. 10.
    Duxbury, P.M., Barber, M.N.: J. Phys. A15, 3219 (1982)Google Scholar
  20. 10a.
    Barber, M.N., Duxbury, P.M.: J. Phys. A14, L251 (1981); J. Stat. Phys.29, 427 (1982)Google Scholar
  21. 10b.
    Kroemer, J., Pesch, W.: J. Phys. A15, L25 (1982)Google Scholar
  22. 11.
    Rujan, P.: Phys. Rev. B24, 6620 (1981)Google Scholar
  23. 11a.
    Williams, G.O., Rujan, P., Frisch, H.L.: Phys. Rev. B24, 6632 (1981)Google Scholar
  24. 12.
    Morgenstern, I.: Phys. Rev. B26, 5296 (1982)Google Scholar
  25. 13.
    Kinzel, W., Selke, W., Binder, K.: Surf. Sci.121, 13 (1982)Google Scholar
  26. 13a.
    Selke, W., Binder, K., Kinzel, W.: Surf. Sci.125, 74 (1983)Google Scholar
  27. 14.
    Villain, J., Bak, P.: J. Phys. (Paris)42, 657 (1981)Google Scholar
  28. 15.
    Coppersmith, S.N., Fisher, D.S., Halperin, B.I., Lee, P.A., Brinkman, W.F.: Phys. Rev. B25, 349 (1982)Google Scholar
  29. 15a.
    Schulz, H.J., Halperin, B.I., Henley, C.L.: Phys. Rev. B26, 2967 (1982)Google Scholar
  30. 16.
    Huse, D.A.: Phys. Rev. B24, 5180 (1981)Google Scholar
  31. 17.
    Ostlund, S.: Phys. Rev. B24, 398 (1981)Google Scholar
  32. 18.
    Selke, W., Yeomans, J.M.: Z. Phys. B — Condensed Matter46, 311 (1982)Google Scholar
  33. 18a.
    Howes, S.F.: Phys. Rev. B27, 1762 (1983)Google Scholar
  34. 18b.
    Howes, S.F., Kadanoff, L.P., den Nijs, M.: Nucl. Phys. B215, 169 (1983)Google Scholar
  35. 19.
    von Gehlen, G., Rittenberg, V.: Nucl. Phys. B (to be published)Google Scholar
  36. 19a.
    Houlrik, J.M., Knak Jensen S.J., Bak, P.: Phys. Rev. B28, 2883 (1983)Google Scholar
  37. 19b.
    Kardar, M.: Phys. Rev. B26, 2693 (1982)Google Scholar
  38. 20.
    Huse, D.A., Fisher, M.E.: Phys. Rev. Lett.49, 793 (1982)Google Scholar
  39. 20a.
    Huse, D.A., Szpilka, A.M., Fisher, M.E.: Physica A (1983)Google Scholar
  40. 20b.
    Huse, D.A., Fisher, M.E.: Phys. Rev. B (1983)Google Scholar
  41. 21.
    Schulz, H.J.: Phys. Rev. B28, 2746 (1983)Google Scholar
  42. 21a.
    Haldane, F.D.M., Bak, P., Bohr, T.: Phys. Rev. B28, 2743 (1983)Google Scholar
  43. 22.
    Kinzel, W.: Preprint (1983)Google Scholar
  44. 23.
    Roelofs, L.D., Estrup, P.J.: Surf. Sci.125, 51 (1983)Google Scholar
  45. 24.
    Oguchi, T.: J. Phys. Soc. Jpn.20, 2236 (1965)Google Scholar
  46. 24a.
    Horiguchi, T., Morita, T.: Phys. Lett. A41, 9 (1972)Google Scholar
  47. 25.
    Stephenson, J.: Can. J. Phys.48, 2118 (1970)Google Scholar
  48. 26.
    Peschel, I., Emery, V.J.: Z. Phys. B — Condensed Matter43, 241 (1981)Google Scholar
  49. 26a.
    Wolff, W.F., Zittartz, J.: Z. Phys. B — Condensed Matter50, 131 (1983)Google Scholar
  50. 27.
    Rujan, P.: J. Stat. Phys.29, 231 (1982)Google Scholar
  51. 28.
    Ching, W.Y., Huber, D.L., Lagally, M.G., Wang, G.C.: Surf. Sci.77, 550 (1978)Google Scholar
  52. 28a.
    Einstein, T.L.: Surf. Sci.84, L497 (1979)Google Scholar
  53. 29.
    Kaski, K., Kinzel, W., Gunton, J.: Phys. Rev. B27, 6777 (1983)Google Scholar
  54. 30.
    Barber, M.N., Selke, W.: J. Phys. A15, L617 (1982)Google Scholar
  55. 30a.
    see also Binder, K.: Phys. Rev. Lett.47, 693 (1981); Z. Phys. B — Condensed Matter43, 119 (1981)Google Scholar
  56. 30b.
    Lyklema, J.: Phys. Rev. B27, 3108 (1983)Google Scholar
  57. 31.
    Yeomans, J.M., Fisher, M.E.: Unpublished notes (1981)Google Scholar
  58. 32.
    Prelovsek, P., Rice, T.M.: Preprint (1983)Google Scholar
  59. 33.
    Pokrovsky, V.L., Talapov, A.L.: Phys. Rev. Lett.42, 65 (1979); Sov. Phys. JETP51, 134 (1980)Google Scholar
  60. 34.
    Schaub, B., Domany, E.: Phys. Rev. B28, 2897 (1983)Google Scholar
  61. 35.
    de Gennes, P.G.: J. Chem. Phys.48, 2257 (1968)Google Scholar
  62. 36.
    Uimin, G.V., Pokrovsky, V.L.: J. Phys. (Paris) Lett. (to be published)Google Scholar
  63. 37.
    Rujan, P., Uimin, G.V.: to be publishedGoogle Scholar
  64. 38.
    Selke, W.: Mat. Res. Soc. Sym. Proc. (to be published, 1983)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • P. Rujan
    • 1
  • W. Selke
    • 2
  • G. V. Uimin
    • 3
  1. 1.Institute for Theoretical PhysicsEötvös UniversityBudapestHungary
  2. 2.Institut für Festkörperforschung der Kernforschungsanlage JülichJülich 1Federal Republic of Germany
  3. 3.L.D. Landau Institute for Theoretical PhysicsChernogolovkaUSSR

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