Magnetic critical behavior of the Ising model on fractal structures

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 10, 1998, Pages 6386-6393

  Monceau, Pascal ^a   Perreau, Michel ^b   Hébert, Frédéric ^b  

^a UNIVERSITÉ D EVRY VAL D ESSONNE   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000489086     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.6386     Document Type: Article

References (31)

1. J. C. Le Guillou and J. Zinn-Justin, J. Phys. (Paris) 49, 19 (1987).
2. Y. Gefen, Y. Meir, B. B. Mandelbrot, and A. Aharony, Phys. Rev. Lett. 50, 145 (1983).
3. Y. Gefen, B. B. Mandelbrot, and A. Aharony, Phys. Rev. Lett. 45, 855 (1980).
4. Y. Gefen, A. Aharony, and B. Mandelbrot, J. Phys. A 16, 1267 (1983).
5. Y. Gefen, A. Aharony, Y. Shapir, and B. Mandelbrot, J. Phys. A 17, 435 (1984).
6. Y. Gefen, A. Aharony, and B. Mandelbrot, J. Phys. A 17, 1277 (1984).
7. Z. R. Yang, Phys. Rev. E 49, 2457 (1994).
8. W. Sierpiński, Math. Sb.30, 267 (1916).
9. G. Bhanot, H. Neuberger, and J. A. Shapiro, Phys. Rev. Lett. 53, 2277 (1984).
10. G. Bhanot, D. Duke, and R. Salvador, Phys. Lett. 165B, 355 (1985).
11. L. Onsager, Phys. Rev. 65, 117 (1944).
12. B. Bonnier, Y. Leroyer, and C. Meyers, J. Phys. (Paris) 48, 553 (1987).
13. B. Bonnier, Y. Leroyer, and C. Meyers, Phys. Rev. B 37, 5205 (1988).
14. B. Bonnier, Y. Leroyer, and C. Meyers, Phys. Rev. B 40, 8961 (1989).
15. C. Angles d’Auriac and R. Rammal, J. Phys. A 19, L655 (1986).
16. B. B. Mandelbrot, Y. Gefen, A. Aharony, and J. Peyrière, J. Phys. A 18, 335 (1985).
17. M. Perreau and J. C. S. Levy, Phys. Rev. A 40, 4690 (1989).
18. B. Lin and Z. R. Yang, J. Phys. A 19, L49 (1986).
19. L. Hao and Z. R. Yang, J. Phys. A 20, 1627 (1987).
20. D. Ledue, D. P. Landau, and J. Teillet, Phys. Rev. B 51, 12 523 (1995).
21. D. Ledue, Phys. Rev. B 53, 3312 (1996).
22. U. Wolff, Phys. Rev. Lett. 60, 1461 (1988).
23. M. E. Fisher, in Critical Phenomena, edited by M. S. Green (Academic, New York, 1971).
24. M. E. Fisher and M. N. Barber, Phys. Rev. Lett. 28, 1516 (1972).
25. K. Binder, Z. Phys. B 43, 119 (1981).
26. J. S. Wang, W. Selke, Vl. S. Dotsenko, and V. B. Andreichenko, Physica A 164, 221 (1990).
27. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 63, 1195 (1989).
28. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett.61, 2635 (1988).
29. A. M. Ferrenberg and D. P. Landau, Phys. Rev. B 44, 5081 (1991).
30. B. Kuchta and D. Etters, Phys. Rev. B 54, 12 057 (1996).
31. K. Chen, A. M. Ferrenberg, and D. P. Landau, Phys. Rev. B 48, 3249 (1993).