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Two-Dimensional Dilute Ising Models: Critical Behavior near Defect Lines

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Abstract

We consider two-dimensional Ising models with randomly distributed ferromagnetic bonds and study the local critical behavior at defect lines by extensive Monte Carlo simulations. Both for ladder- and chain-type defects, nonuniversal critical behavior is observed: the critical exponent of the defect magnetization is found to be a continuous function of the strength of the defect coupling. Analyzing corresponding stability conditions, we obtain new evidence that the critical exponent ν of the bulk correlation length of the random Ising model does not depend on dilution, i.e., ν=1.

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REFERENCES

  1. A. B. Harris, J. Phys. C 7:1671 (1974).

    Google Scholar 

  2. Vik. S. Dotsenko and Vl. S. Dotsenko, Adv. Phys. 32:129 (1983); V. Dotsenko, Usp. Fiz. Nauk. 165:481 (1995).

    Google Scholar 

  3. B. N. Shalaev, Phys. Rep. 237:129 (1994).

    Google Scholar 

  4. W. Selke, L. N. Shchur, and A. L. Talapov, Annual Reviews of Computational Physics, Vol. 1, D. Stauffer, ed. (World Scientific, Singapore, 1994), p. 17.

    Google Scholar 

  5. A. Roder, J. Adler, and W. Janke, Phys. Rev. Lett. 80:4697 (1998).

    Google Scholar 

  6. D. Stauffer, F. D. A. Aarão Reis, S. L. A. Queiroz, and R. R. dos Santos, Int. J. Mod. Phys. C 8:1209 (1997).

    Google Scholar 

  7. R. Kühn, Phys. Rev. Lett. 73:2268 (1994); J.-K. Kim and A. Patrascioiu, Phys. Rev. Lett. 72:2785 (1994).

    Google Scholar 

  8. F. Iglói, I. Peschel, and L. Turban, Adv. Phys. 42:683 (1993).

    Google Scholar 

  9. R. Z. Bariev, Zh. Eksp. Teor. Fiz. 77:1217 (1979); Soviet Phys. JETP 50:613 (1979).

    Google Scholar 

  10. M. Pleimling and W. Selke, Phys. Rev. B 59:65 (1999).

    Google Scholar 

  11. T. W. Burkhardt, Phase Transitions in Disordered Systems, Lecture Notes in Physics, Vol. 206, A. Pekalski and J. Sznajd, eds. (Springer, Berlin, 1984).

    Google Scholar 

  12. B. Fisch, J. Stat. Phys. 18:111 (1978).

    Google Scholar 

  13. U. Wolff, Phys. Rev. Lett. 62:361 (1989).

    Google Scholar 

  14. W. Selke, F. Szalma, P. Lajkó, and F. Iglói, J. Stat. Phys. 89:1079 (1997); F. Igló, P. Lajkó, W. Selke, and F. Szalma, J. Phys. A 31:2801 (1998).

    Google Scholar 

  15. H. W. Diehl, Eur. Phys. J. B 1:401 (1998).

    Google Scholar 

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Authors and Affiliations

  1. Institute for Theoretical Physics, Szeged University, H-6720, Szeged, Hungary

    Ferenc Szalma & Ferenc Iglói

  2. Research Institute for Solid State Physics and Optics, H-1525, Budapest, P.O. Box 49, Hungary

    Ferenc Iglói

Authors
  1. Ferenc Szalma
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  2. Ferenc Iglói
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Szalma, F., Iglói, F. Two-Dimensional Dilute Ising Models: Critical Behavior near Defect Lines. Journal of Statistical Physics 95, 759–766 (1999). https://doi.org/10.1023/A:1004555728698

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  • DOI: https://doi.org/10.1023/A:1004555728698

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