Critical Binder cumulant in a two-dimensional anisotropic Ising model with competing interactions

Physical Review E

Volumn 80, Issue 4, 2009, Pages

  Selke, W ^a   Shchur, L N ^b,c  

^a RWTH AACHEN UNIVERSITY   (Germany)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c NATIONAL RESEARCH NUCLEAR UNIVERSITY MEPHI   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLINGS; MONTE CARLO METHODS; PHASE DIAGRAMS; STATISTICAL MECHANICS;

ANTIFERROMAGNETIC COUPLING; BINDER CUMULANT; COMPETING INTERACTIONS; FERROMAGNETIC COUPLING; MONTE CARLO TECHNIQUES; NEAREST-NEIGHBOUR; SPIN-SPIN CORRELATION; SQUARE LATTICES; TWO-DIMENSIONAL;

ISING MODEL;

EID: 85042894176     PISSN: 24700045     EISSN: 24700053     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.042104     Document Type: Article

References (28)

1. K. Binder, Z. Phys. B: Condens. Matter 43, 119 (1981);
2. Phys. Rev. Lett. 47, 693 (1981).
3. G. Kamieniarz and H. W. J. Blöte, J. Phys. A 26, 201 (1993).
4. W. Janke, M. Katoot, and R. Villanova, Phys. Rev. B 49, 9644 (1994).
5. X. S. Chen and V. Dohm, Phys. Rev. E 70, 056136 (2004).
6. W. Selke and L. N. Shchur, J. Phys. A 38, L739 (2005).
7. W. Selke, Eur. Phys. J. B 51, 223 (2006);
8. J. Stat. Mech.: Theory Exp. 2007, P04008.
9. V. Dohm, Phys. Rev. E 77, 061128 (2008).
10. D. Nicolaides and A. D. Bruce, J. Phys. A 21, 233 (1988).
11. M. Schulte and C. Drope, Int. J. Mod. Phys. C 16, 1217 (2005).
12. M. A. Sumour, D. Stauffer, M. M. Shabat, and A. H. El-Astal, Physica A 368, 96 (2006).
13. A. N. Berker and K. Hui, Phys. Rev. B 48, 12393 (1993).
14. R. M. F. Houtappel, Physica 16, 425 (1950).
15. K. Y. Lin and F. Y. Wu, Z. Phys. B 33, 181 (1979).
16. J. Stephenson, Phys. Rev. B 1, 4405 (1970);
17. J. Stephenson, J. Math. Phys. 11, 413 (1970).
18. I. Peschel and V. J. Emery, Z. Phys. B: Condens. Matter 43, 241 (1981).
19. W. Selke, Phys. Rep. 170, 213 (1988).
20. M. Beccaria, M. Campostrini, and A. Feo, Phys. Rev. B 73, 052402 (2006).
21. R. M. Hornreich, M. Luban, and S. Shtrikman, Phys. Rev. Lett. 35, 1678 (1975).
22. W. Selke in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1992), Vol. 15, p. 1.
23. H. W. Diehl, Pramana-J. Phys. 64, 803 (2005).
24. M. E. Fisher and W. Selke, Phys. Rev. Lett. 44, 1502 (1980).
25. S. Redner and H. E. Stanley, Phys. Rev. B 16, 4901 (1977).
26. J. Oitmaa, J. Phys. A 18, 365 (1985).
27. H. W. Diehl and M. Shpot, Phys. Rev. B 62, 12338 (2000).
28. P. Butera and M. Pernici, Phys. Rev. B 78, 054405 (2008).