Spontaneous edge order and geometric aspects of two-dimensional Pot s models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 3 2, 2004, Pages

  Deng, Youjin ^a   Blöte, Henk W J ^a,b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITEIT LEIDEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FRACTALS; HAMILTONIANS; MAGNETIC FIELDS; MAGNETIZATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; PHASE TRANSITIONS; PROBABILITY; TWO DIMENSIONAL;

CONFORMAL FIELD THEORY; ISING MODEL; POTTS MODEL; SURFACE TRANSITIONS;

SURFACE TOPOGRAPHY;

EID: 37649031609     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.035107     Document Type: Article

References (32)

1. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
2. B. Nienhuis, A. N. Berker, E. K. Riedel, and M. Schick, Phys. Rev. Lett. 43 737 (1979).
3. B. Nienhuis, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1987).
4. H. J. Herrmann and H. E. Stanley, Phys. Rev. Lett. 53, 1121 (1984); P. Grassberger, Physica A 262, 251 (1999); Y. Deng, H. W. J. Blöte, and B. Nienhuis, Phys. Rev. E 69, 026114 (2004).
5. H. J. Herrmann and H. E. Stanley, Phys. Rev. Lett. 53, 1121 (1984); P. Grassberger, Physica A 262, 251 (1999); Y. Deng, H. W. J. Blöte, and B. Nienhuis, Phys. Rev. E 69, 026114 (2004).
6. H. J. Herrmann and H. E. Stanley, Phys. Rev. Lett. 53, 1121 (1984); P. Grassberger, Physica A 262, 251 (1999); Y. Deng, H. W. J. Blöte, and B. Nienhuis, Phys. Rev. E 69, 026114 (2004).
7. Y. Deng, H. W. J. Blöte, and B. Nienhuis, Phys. Rev. E 69, 026123 (2004).
8. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. 46 (Suppl), 11 (1969); C. M. Fortuin and P. W. Kasteleyn, Physica (Amsterdam) 57, 536 (1972).
9. P. W. Kasteleyn and C. M. Fortuin, J. Phys. Soc. Jpn. 46 (Suppl), 11 (1969); C. M. Fortuin and P. W. Kasteleyn, Physica (Amsterdam) 57, 536 (1972).
10. K. Binder, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1987), Vol. 8, p. 1; H. W. Diehl, Phase Transitions and Critical Phenomena, Vol. 10, p. 76.
11. K. Binder, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1987), Vol. 8, p. 1; H. W. Diehl, Phase Transitions and Critical Phenomena, Vol. 10, p. 76.
12. D. P. Landau and K. Binder, Phys. Rev. B 41, 4633 (1990).
13. B. M. McCoy and T. T. Wu, Phys. Rev. 162, 436 (1967).
14. H. Au-Yang and M. E. Fisher, Phys. Rev. B 21, 3956 (1980).
15. J. L. Cardy, Nucl. Phys. B 240 [FS12], 514 (1984); ibid. 324, 581 (1989).
16. J. L. Cardy, Nucl. Phys. B 240 [FS12], 514 (1984); ibid. 324, 581 (1989).
17. U. Wolff, Phys. Rev. Lett. 62, 361 (1989).
18. A. L. Stella and C. Vanderzande, Phys. Rev. Lett. 62, 1067 (1989); B. Duplantier and H. Saleur, ibid. 63, 2536 (1989); H. W. J. Blöte, Y. M. M. Knops, and B. Nienhuis, ibid. 68, 3440 (1992).
19. A. L. Stella and C. Vanderzande, Phys. Rev. Lett. 62, 1067 (1989); B. Duplantier and H. Saleur, ibid. 63, 2536 (1989); H. W. J. Blöte, Y. M. M. Knops, and B. Nienhuis, ibid. 68, 3440 (1992).
20. A. L. Stella and C. Vanderzande, Phys. Rev. Lett. 62, 1067 (1989); B. Duplantier and H. Saleur, ibid. 63, 2536 (1989); H. W. J. Blöte, Y. M. M. Knops, and B. Nienhuis, ibid. 68, 3440 (1992).
21. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. 34, 763 (1984); D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
22. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, J. Stat. Phys. 34, 763 (1984); D. Friedan, Z. Qiu, and S. Shenker, Phys. Rev. Lett. 52, 1575 (1984).
23. J. L. Cardy, Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1987), Vol. 11, p. 55.
24. L. Chim, Int. J. Mod. Phys. A 11, 4491 (1996).
25. I. Affleck, J. Phys. A 33, 6473 (2000).
26. A. De Martino and M. Moriconi, Nucl. Phys. B 528, 577 (1998); G. Feverati, P. A. Pearce, and F. Ravanini, Phys. Lett. B 534, 216 (2002); Nucl. Phys. B 675, 469 (2003); R. I. Nepomechie, Int. J. Mod. Phys. A 17, 3809 (2002).
27. A. De Martino and M. Moriconi, Nucl. Phys. B 528, 577 (1998); G. Feverati, P. A. Pearce, and F. Ravanini, Phys. Lett. B 534, 216 (2002); Nucl. Phys. B 675, 469 (2003); R. I. Nepomechie, Int. J. Mod. Phys. A 17, 3809 (2002).
28. A. De Martino and M. Moriconi, Nucl. Phys. B 528, 577 (1998); G. Feverati, P. A. Pearce, and F. Ravanini, Phys. Lett. B 534, 216 (2002); Nucl. Phys. B 675, 469 (2003); R. I. Nepomechie, Int. J. Mod. Phys. A 17, 3809 (2002).
29. A. De Martino and M. Moriconi, Nucl. Phys. B 528, 577 (1998); G. Feverati, P. A. Pearce, and F. Ravanini, Phys. Lett. B 534, 216 (2002); Nucl. Phys. B 675, 469 (2003); R. I. Nepomechie, Int. J. Mod. Phys. A 17, 3809 (2002).
30. X. F. Qian, H. W. J. Blöte, and Y. Deng (unpublished).
31. B. Duplantier, Phys. Rev. Lett. 84, 1363 (2000).
32. T. W. Burkhardt and J. L. Cardy, J. Phys. A 20, L233 (1987).