Fisher zeros of the Ising antiferromagnet in an arbitrary nonzero magnetic field

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

Volumn 71, Issue 1, 2005, Pages

  Kim, Seung Yeon ^a  

^a Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

FISHER ZEROS; ISING ANTIFERROMAGNET; NONZERO MAGNETIC FIELDS; SQUARE LATTICES;

ALGORITHMS; ANTIFERROMAGNETISM; APPROXIMATION THEORY; BOUNDARY CONDITIONS; CRYSTAL LATTICES; EXTRAPOLATION; PHASE TRANSITIONS;

MAGNETIC FIELDS;

EID: 41349093551     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.017102     Document Type: Article

References (27)

1. C. N. Yang and T. D. Lee, Phys. Rev. 87, 404 (1952).
2. M. E. Fisher, in Lectures in Theoretical Physics, edited by W. E. Brittin (University of Colorado Press, Boulder, CO, 1965), Vol. 7c, p. 1.
3. S. Katsura, Prog. Theor. Phys. 38, 1415 (1967); Y. Abe and S. Katsura, ibid. 43, 1402 (1970); H. I. Brascamp and H. Kunz, J. Math. Phys. 15, 65 (1974); W. T. Lu and F. Y. Wu, Physica A 258, 157 (1998).
4. S. Katsura, Prog. Theor. Phys. 38, 1415 (1967); Y. Abe and S. Katsura, ibid. 43, 1402 (1970); H. I. Brascamp and H. Kunz, J. Math. Phys. 15, 65 (1974); W. T. Lu and F. Y. Wu, Physica A 258, 157 (1998).
5. S. Katsura, Prog. Theor. Phys. 38, 1415 (1967); Y. Abe and S. Katsura, ibid. 43, 1402 (1970); H. I. Brascamp and H. Kunz, J. Math. Phys. 15, 65 (1974); W. T. Lu and F. Y. Wu, Physica A 258, 157 (1998).
6. S. Katsura, Prog. Theor. Phys. 38, 1415 (1967); Y. Abe and S. Katsura, ibid. 43, 1402 (1970); H. I. Brascamp and H. Kunz, J. Math. Phys. 15, 65 (1974); W. T. Lu and F. Y. Wu, Physica A 258, 157 (1998).
7. C. Itzykson, R. B. Pearson, and J.-B. Zuber, Nucl. Phys. B 220, 415 (1983).
8. V. Matveev and R. Shrock, Phys. Rev. E 53, 254 (1996).
9. S.-Y. Kim and R. J. Creswick, Phys. Rev. E 58, 7006 (1998).
10. S.-Y. Kim, Nucl. Phys. B 637, 409 (2002).
11. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
12. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
13. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
14. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
15. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
16. R. J. Creswick, Phys. Rev. E 52, R5735 (1995); R. J. Creswick and S.-Y. Kim, ibid. 56, 2418 (1997); S.-Y. Kim and R. J. Creswick, Phys. Rev. Lett. 81, 2000 (1998); 82, 3924 (1999); S.-Y. Kim, Phys. Rev. E 70, 016110 (2004); Phys. Rev. Lett. 93, 130604 (2004).
17. S.-Y. Kim, R. J. Creswick, C.-N. Chen, and C.-K. Hu, Physica A 281, 262 (2000); S.-Y. Kim and R. J. Creswick, Phys. Rev. E 63, 066107 (2001).
18. S.-Y. Kim, R. J. Creswick, C.-N. Chen, and C.-K. Hu, Physica A 281, 262 (2000); S.-Y. Kim and R. J. Creswick, Phys. Rev. E 63, 066107 (2001).
19. B. Stošić, S. Sastry, D. Kostić, S. Milošević, and H. E. Stanley, Physica A 232, 349 (1996).
20. R. J. Baxter and I. G. Enting, J. Stat Phys. 21, 103 (1979).
21. A. J. Guttmann, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, New York, 1989), Vol. 13, p. 1; G. A. Baker, Quantitative Theory of Critical Phenomena (Academic, Boston, 1990).
22. A. J. Guttmann, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, New York, 1989), Vol. 13, p. 1; G. A. Baker, Quantitative Theory of Critical Phenomena (Academic, Boston, 1990).
23. M. Henkel and G. Schütz, J. Phys. A 21, 2617 (1988).
24. X. N. Wu and F. Y. Wu, Phys. Lett. A 144, 123 (1990).
25. X.-Z. Wang and J. S. Kim, Phys. Rev. Lett. 78, 413 (1997).
26. M. E. Fisher, Proc. R. Soc. London, Ser. A 254, 66 (1960); 256, 502 (1960).
27. M. E. Fisher, Proc. R. Soc. London, Ser. A 254, 66 (1960); 256, 502 (1960).