Phase diagram of the square-lattice three-state potts antiferromagnet with a staggered polarization field

Physical Review Letters

Volumn 93, Issue 12, 2004, Pages

  Otsuka, Hiromi ^a   Okabe, Yutaka ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETIC MATERIALS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; EXTRAPOLATION; GROUND STATE; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; PHASE TRANSITIONS; POLARIZATION; SET THEORY;

BOSONIZATION; ENERGY OPERATORS; PHASE BOUNDARIES; POLARIZATION FIELDS;

PHASE DIAGRAMS;

EID: 19644375336     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.120601     Document Type: Article

References (37)

1. G. H. Wannier, Phys. Rev. 79, 357 (1950).
2. R. M. F. Houtapple, Physica (Amsterdam) 16, 425 (1950); J. Stephenson, J. Math. Phys. (N.Y.) 5, 1009 (1964); ibid. 11, 420 (1970).
3. R. M. F. Houtapple, Physica (Amsterdam) 16, 425 (1950); J. Stephenson, J. Math. Phys. (N.Y.) 5, 1009 (1964); ibid. 11, 420 (1970).
4. R. M. F. Houtapple, Physica (Amsterdam) 16, 425 (1950); J. Stephenson, J. Math. Phys. (N.Y.) 5, 1009 (1964); ibid. 11, 420 (1970).
5. For example, X. Qian, M. Wegewijs, and H. W. J. Blöte, Phys. Rev. E 69, 036127 (2004), and references therein.
6. A. B. Zamolodchikov, Zh. Eksp. Teor. Fiz. 43, 565 (1986) [JETP Lett. 43, 730 (1986)].
7. A. B. Zamolodchikov, Zh. Eksp. Teor. Fiz. 43, 565 (1986) [JETP Lett. 43, 730 (1986)].
8. E. H. Lieb, Phys. Rev. 162, 162 (1967); E. H. Lieb, Phys. Rev. Lett. 18, 692 (1967).
9. E. H. Lieb, Phys. Rev. 162, 162 (1967); E. H. Lieb, Phys. Rev. Lett. 18, 692 (1967).
10. R. J. Baxter, J. Math. Phys. (N.Y.) 11, 3116 (1970); R. J. Baxter, Proc. R. Soc. London A 383, 43 (1982).
11. R. J. Baxter, J. Math. Phys. (N.Y.) 11, 3116 (1970); R. J. Baxter, Proc. R. Soc. London A 383, 43 (1982).
12. M. P. M. den Nijs, M. P. Nightingale, and M. Schick, Phys. Rev. B 26, 2490 (1982).
13. J. K. Burton, Jr. and C. L. Henley, J. Phys. A 30, 8385 (1997).
14. G. Delfino, J. Phys. A 34, L311 (2001).
15. J. Kolafa, J. Phys. A 17, L777 (1984); J.-S. Wang, R. H. Swendsen, and R. Kotecký, Phys. Rev. Lett. 63, 109 (1989).
16. J. Kolafa, J. Phys. A 17, L777 (1984); J.-S. Wang, R. H. Swendsen, and R. Kotecký, Phys. Rev. Lett. 63, 109 (1989).
17. J. Salas and A. D. Sokal, J. Stat. Phys. 92, 729 (1998).
18. J. L. Cardy, J. L. Jacobsen, and A. Sokal, J. Stat. Phys. 105, 25 (2001).
19. S. J. Ferreira and A. D. Sokal, J. Stat. Phys. 96, 461 (1999).
20. G. Delfino, hep-th/0110181.
21. P. Lecheminant and E. Orignac, Phys. Rev. B 69, 174409 (2004).
22. S. L. A. de Queiroz, Phys. Rev. E 65, 056104 (2002).
23. P. Lecheminant, A. O. Gogolin, and A. A. Nersesyan, Nucl. Phys. B639, 502 (2002).
24. R. B. Potts, Proc. Cambridge Philos. Soc. 48, 106 (1952).
25. J. L. Cardy, J. Phys. A 17, L385 (1984).
26. H. W. Blöte, J. L. Cardy, and M. P. Nightingale, Phys. Rev. Lett. 56, 742 (1986); I. Affleck, ibid. 56, 746 (1986).
27. H. W. Blöte, J. L. Cardy, and M. P. Nightingale, Phys. Rev. Lett. 56, 742 (1986); I. Affleck, ibid. 56, 746 (1986).
28. For 1D quantum systems, see H. Otsuka, Phys. Rev. B 66, 172411 (2002); H. Otsuka and M. Nakamura, Phys. Rev. B 70, 073105 (2004).
29. For 1D quantum systems, see H. Otsuka, Phys. Rev. B 66, 172411 (2002); H. Otsuka and M. Nakamura, Phys. Rev. B 70, 073105 (2004).
30. M. P. Nightingale, Physica (Amsterdam) 83A, 561 (1976); H. H. Roomany and H. W. Wyld, Phys. Rev. D 21, 3341 (1980).
31. M. P. Nightingale, Physica (Amsterdam) 83A, 561 (1976); H. H. Roomany and H. W. Wyld, Phys. Rev. D 21, 3341 (1980).
32. B. Derrida and L. De. Seze, J. Phys. (Paris) 43, 475 (1982).
33. B. Nienhuis, J. Phys. A 15, 199 (1982).
34. J. L. Cardy, Scaling and Renormalization in Statistical Physics (Cambridge University Press, Cambridge, 1996).
35. Z. Rácz and T. Vicsek, Phys. Rev. B 27, 2992 (1983).
36. S. L. A. de Queiroz et al., Phys. Rev. E 59, 2772 (1999).
37. G. Delfino, Phys. Lett. B 450, 196 (1999).