Yang-Lee zeros of the antiferromagnetic ising model

Physical Review Letters

Volumn 93, Issue 13, 2004, Pages

  Kim, Seung Yeon ^a  

^a Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EXTRAPOLATION; FERROMAGNETISM; HAMILTONIANS; HIGH TEMPERATURE EFFECTS; MAGNETIC FIELDS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; PHASE TRANSITIONS; THERMODYNAMICS;

ANTIFERROMAGNETIC ISING MODELS; SQUARE LATTICES; THERMODYNAMIC LIMITS; YANG-LEE ZEROS;

ANTIFERROMAGNETIC MATERIALS;

EID: 19644390623     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.130604     Document Type: Article

References (27)

1. C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952); T. D. Lee and C.N. Yang, ibid. 87, 410 (1952).
2. C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952); T. D. Lee and C.N. Yang, ibid. 87, 410 (1952).
3. C. Binek, Ising-Type Antiferromagnets (Springer, Berlin, 2003), and references therein.
4. C. N. Yang, Special Problems of Statistical Mechanics (University of Washington, Seattle, 1952).
5. S. Katsura, Phys. Rev. 127, 1508 (1962); Adv. Phys. 12, 391 (1963); D. B. Abraham and J. De Coninck, Commun. Math. Phys. 108, 13 (1987).
6. S. Katsura, Phys. Rev. 127, 1508 (1962); Adv. Phys. 12, 391 (1963); D. B. Abraham and J. De Coninck, Commun. Math. Phys. 108, 13 (1987).
7. S. Katsura, Phys. Rev. 127, 1508 (1962); Adv. Phys. 12, 391 (1963); D. B. Abraham and J. De Coninck, Commun. Math. Phys. 108, 13 (1987).
8. M. Suzuki, C. Kawabata, S. Ono, Y. Karaki, and M. Ikeda, J. Phys. Soc. Jpa 29, 837 (1970).
9. E.H Lieb and D. Ruelle, J. Math. Phys. (N.Y.) 13, 781 (1972).
10. B. Stošić, S. Milošević, and RE Stanley, Phys. Rev. B 41, 11466 (1990); G. Bhanot, M. Creutz, and J. Lacki, Phys. Rev. Lett. 69, 1841 (1992); R.J. Creswick, Phys. Rev. E 52, 5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim, Nucl. Phys. B 637, 409 (2002), and references therein.
11. B. Stošić, S. Milošević, and RE Stanley, Phys. Rev. B 41, 11466 (1990); G. Bhanot, M. Creutz, and J. Lacki, Phys. Rev. Lett. 69, 1841 (1992); R.J. Creswick, Phys. Rev. E 52, 5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim, Nucl. Phys. B 637, 409 (2002), and references therein.
12. B. Stošić, S. Milošević, and RE Stanley, Phys. Rev. B 41, 11466 (1990); G. Bhanot, M. Creutz, and J. Lacki, Phys. Rev. Lett. 69, 1841 (1992); R.J. Creswick, Phys. Rev. E 52, 5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim, Nucl. Phys. B 637, 409 (2002), and references therein.
13. B. Stošić, S. Milošević, and RE Stanley, Phys. Rev. B 41, 11466 (1990); G. Bhanot, M. Creutz, and J. Lacki, Phys. Rev. Lett. 69, 1841 (1992); R.J. Creswick, Phys. Rev. E 52, 5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim, Nucl. Phys. B 637, 409 (2002), and references therein.
14. B. Stošić, S. Milošević, and RE Stanley, Phys. Rev. B 41, 11466 (1990); G. Bhanot, M. Creutz, and J. Lacki, Phys. Rev. Lett. 69, 1841 (1992); R.J. Creswick, Phys. Rev. E 52, 5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim, Nucl. Phys. B 637, 409 (2002), and references therein.
15. S.-Y. Kim and R J. Creswick, Phys. Rev. Lett. 81, 2000 (1998).
16. G. Bhanot, J. Stat Phys. 60, 55 (1990).
17. 10 byte. Here, cylindrical boundary condition means the boundary condition that is periodic in the horizontal direction and free in the vertical direction.
18. 9 byte for L = 20.
19. 1 obtained from ω(M) for L > 14 are good approximations.
20. M. Henkel and G. Schütz, J. Phys. A 21, 2617 (1988).
21. X. N. Wu and F. Y. Wu, Phys. Lett. A144, 123 (1990); XZ. Wang and J.S. Kim, Phys. Rev. Lett. 78, 413 (1997); J. L. Monroe, Phys. Rev. E 64, 016126 (2001), and references therein.
22. X. N. Wu and F. Y. Wu, Phys. Lett. A144, 123 (1990); XZ. Wang and J.S. Kim, Phys. Rev. Lett. 78, 413 (1997); J. L. Monroe, Phys. Rev. E 64, 016126 (2001), and references therein.
23. X. N. Wu and F. Y. Wu, Phys. Lett. A144, 123 (1990); XZ. Wang and J.S. Kim, Phys. Rev. Lett. 78, 413 (1997); J. L. Monroe, Phys. Rev. E 64, 016126 (2001), and references therein.
24. C. Itzykson, R. B. Pearson, and J. B. Zuber, Nucl. Phys. B 220, 415 (1983).
25. M. E. Fisher, Proc. R. Soc. London A 254, 66 (1960); ibid. 256, 502 (1960); M Kaufman, Phys. Rev. B 36, 3697 (1987), and references therein.
26. M. E. Fisher, Proc. R. Soc. London A 254, 66 (1960); ibid. 256, 502 (1960); M Kaufman, Phys. Rev. B 36, 3697 (1987), and references therein.
27. M. E. Fisher, Proc. R. Soc. London A 254, 66 (1960); ibid. 256, 502 (1960); M Kaufman, Phys. Rev. B 36, 3697 (1987), and references therein.