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

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Zeitschrift für Physik B Condensed Matter

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.

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References

  1. Villain, J.: Ordering in strongly fluctuating condensed matter systems, Geilo, 1979. Riste T. (ed.). New York: Plenum Press 1980

    Google Scholar 

  2. Bak, P.: Rep. Prog. Phys.45, 587 (1982)

    Google Scholar 

  3. Fisher, M.E., Huse, D.A.: Melting, localization and chaos. Kalia, R.K., Vashishta, P. (eds.), p. 259. New York: Elsevier 1982

    Google Scholar 

  4. Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980); Philos. Transact. R. Soc.302, 1 (1981)

    Google Scholar 

  5. Selke, W., Fisher, M.E.: Phys. Rev. B21, 257 (1979)

    Google Scholar 

  6. Bak, P., von Boehm, J.: Phys. Rev. B21, 5297 (1980)

    Google Scholar 

  7. 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)

  8. Pokrovsky, V.L., Uimin, G.V.: J. Phys. C15, L353 (1982); Zh. Eksp. Teor. Fiz.82, 1640 (1982)

    Google Scholar 

  9. Uimin, G.V.: J. Phys. (Paris)43, L665 (1982)

    Google Scholar 

  10. Smith, J., Yeomans, J.M.: J. Phys. C15, L1053 (1982)

    Google Scholar 

  11. Yokoi, C.S.O., Coutinho-Filho, M.D., Salinas, S.R.: Phys. Rev. B24, 4047 (1981)

    Google Scholar 

  12. Öttinger, H.C.: J. Phys. A16, 1483 (1983)

    Google Scholar 

  13. Smith, J., Yeomans, J.: J. Phys. C16, 5305 (1983)

    Google Scholar 

  14. Uimin, G.V.: J. Stat. Phys. (to be published 1983)

  15. Ertl, G., Küppers, J.: Surf. Sci.21, 61 (1970)

    Google Scholar 

  16. Hornreich, R.M., Liebmann, R., Schuster, H.G., Selke, W.: Z. Phys. B — condensed Matter35, 91 (1979)

    Google Scholar 

  17. Selke, W., Fisher, M.E.: Z. Phys. B — Condensed Matter40, 71 (1980)

    Google Scholar 

  18. Selke, W.: Z. Phys. B — Condensed Matter43, 335 (1981)

    Google Scholar 

  19. Duxbury, P.M., Barber, M.N.: J. Phys. A15, 3219 (1982)

    Google Scholar 

  20. Barber, M.N., Duxbury, P.M.: J. Phys. A14, L251 (1981); J. Stat. Phys.29, 427 (1982)

    Google Scholar 

  21. Kroemer, J., Pesch, W.: J. Phys. A15, L25 (1982)

    Google Scholar 

  22. Rujan, P.: Phys. Rev. B24, 6620 (1981)

    Google Scholar 

  23. Williams, G.O., Rujan, P., Frisch, H.L.: Phys. Rev. B24, 6632 (1981)

    Google Scholar 

  24. Morgenstern, I.: Phys. Rev. B26, 5296 (1982)

    Google Scholar 

  25. Kinzel, W., Selke, W., Binder, K.: Surf. Sci.121, 13 (1982)

    Google Scholar 

  26. Selke, W., Binder, K., Kinzel, W.: Surf. Sci.125, 74 (1983)

    Google Scholar 

  27. Villain, J., Bak, P.: J. Phys. (Paris)42, 657 (1981)

    Google Scholar 

  28. Coppersmith, S.N., Fisher, D.S., Halperin, B.I., Lee, P.A., Brinkman, W.F.: Phys. Rev. B25, 349 (1982)

    Google Scholar 

  29. Schulz, H.J., Halperin, B.I., Henley, C.L.: Phys. Rev. B26, 2967 (1982)

    Google Scholar 

  30. Huse, D.A.: Phys. Rev. B24, 5180 (1981)

    Google Scholar 

  31. Ostlund, S.: Phys. Rev. B24, 398 (1981)

    Google Scholar 

  32. Selke, W., Yeomans, J.M.: Z. Phys. B — Condensed Matter46, 311 (1982)

    Google Scholar 

  33. Howes, S.F.: Phys. Rev. B27, 1762 (1983)

    Google Scholar 

  34. Howes, S.F., Kadanoff, L.P., den Nijs, M.: Nucl. Phys. B215, 169 (1983)

    Google Scholar 

  35. von Gehlen, G., Rittenberg, V.: Nucl. Phys. B (to be published)

  36. Houlrik, J.M., Knak Jensen S.J., Bak, P.: Phys. Rev. B28, 2883 (1983)

    Google Scholar 

  37. Kardar, M.: Phys. Rev. B26, 2693 (1982)

    Google Scholar 

  38. Huse, D.A., Fisher, M.E.: Phys. Rev. Lett.49, 793 (1982)

    Google Scholar 

  39. Huse, D.A., Szpilka, A.M., Fisher, M.E.: Physica A (1983)

  40. Huse, D.A., Fisher, M.E.: Phys. Rev. B (1983)

  41. Schulz, H.J.: Phys. Rev. B28, 2746 (1983)

    Google Scholar 

  42. Haldane, F.D.M., Bak, P., Bohr, T.: Phys. Rev. B28, 2743 (1983)

    Google Scholar 

  43. Kinzel, W.: Preprint (1983)

  44. Roelofs, L.D., Estrup, P.J.: Surf. Sci.125, 51 (1983)

    Google Scholar 

  45. Oguchi, T.: J. Phys. Soc. Jpn.20, 2236 (1965)

    Google Scholar 

  46. Horiguchi, T., Morita, T.: Phys. Lett. A41, 9 (1972)

    Google Scholar 

  47. Stephenson, J.: Can. J. Phys.48, 2118 (1970)

    Google Scholar 

  48. Peschel, I., Emery, V.J.: Z. Phys. B — Condensed Matter43, 241 (1981)

    Google Scholar 

  49. Wolff, W.F., Zittartz, J.: Z. Phys. B — Condensed Matter50, 131 (1983)

    Google Scholar 

  50. Rujan, P.: J. Stat. Phys.29, 231 (1982)

    Google Scholar 

  51. Ching, W.Y., Huber, D.L., Lagally, M.G., Wang, G.C.: Surf. Sci.77, 550 (1978)

    Google Scholar 

  52. Einstein, T.L.: Surf. Sci.84, L497 (1979)

    Google Scholar 

  53. Kaski, K., Kinzel, W., Gunton, J.: Phys. Rev. B27, 6777 (1983)

    Google Scholar 

  54. Barber, M.N., Selke, W.: J. Phys. A15, L617 (1982)

    Google Scholar 

  55. see also Binder, K.: Phys. Rev. Lett.47, 693 (1981); Z. Phys. B — Condensed Matter43, 119 (1981)

    Google Scholar 

  56. Lyklema, J.: Phys. Rev. B27, 3108 (1983)

    Google Scholar 

  57. Yeomans, J.M., Fisher, M.E.: Unpublished notes (1981)

  58. Prelovsek, P., Rice, T.M.: Preprint (1983)

  59. Pokrovsky, V.L., Talapov, A.L.: Phys. Rev. Lett.42, 65 (1979); Sov. Phys. JETP51, 134 (1980)

    Google Scholar 

  60. Schaub, B., Domany, E.: Phys. Rev. B28, 2897 (1983)

    Google Scholar 

  61. de Gennes, P.G.: J. Chem. Phys.48, 2257 (1968)

    Google Scholar 

  62. Uimin, G.V., Pokrovsky, V.L.: J. Phys. (Paris) Lett. (to be published)

  63. Rujan, P., Uimin, G.V.: to be published

  64. Selke, W.: Mat. Res. Soc. Sym. Proc. (to be published, 1983)

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Authors and Affiliations

  1. Institute for Theoretical Physics, Eötvös University, Puskin u. 5-7, H-1088, Budapest, Hungary

    P. Rujan

  2. Institut für Festkörperforschung der Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Federal Republic of Germany

    W. Selke

  3. L.D. Landau Institute for Theoretical Physics, 142432, Chernogolovka, USSR

    G. V. Uimin

Authors
  1. P. Rujan
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  2. W. Selke
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  3. G. V. Uimin
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Rujan, P., Selke, W. & Uimin, G.V. Rectangular lattice gas model with competing interactions and the two-dimensional ANNNI model in a field. Z. Physik B - Condensed Matter 53, 221–231 (1983). https://doi.org/10.1007/BF01388543

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  • DOI: https://doi.org/10.1007/BF01388543

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