- PII
- 10.31857/S0044451023110093-1
- DOI
- 10.31857/S0044451023110093
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 164 / Issue number 5
- Pages
- 790-796
- Abstract
- The phase transitions and thermodynamic properties of the clock model with q = 5 spin states on a triangular lattice have been investigated using the Wang–Landau Monte Carlo algorithm. The phase transitions have been analyzed with the histogram method and the fourth-order Binder cumulant method. Two Berezinskii–Kosterlitz–Thouless phase transitions are shown to be observed in the ferromagnetic clock model, while a second-order phase transition has been detected in the antiferromagnetic clock model.
- Keywords
- Date of publication
- 15.11.2023
- Year of publication
- 2023
- Number of purchasers
- 0
- Views
- 28
References
- 1. Л. Е. Свистов, Л. А. Прозорова, Н. Бюттген и др., Письма в ЖЭТФ 81, 133 (2005).
- 2. С. Е. Коршунов, УФН 176, 233 (2006).
- 3. M. Tisser, B. Delamotte, D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000).
- 4. P. Calabrese, P. Parruccini, A. Pelissetto et al., Phys. Rev. B 70, 174439-1 (2004).
- 5. М. К. Бадиев, А. К. Муртазаев, М. К. Рамазанов и др., ЖЭТФ 161, 753 (2022).
- 6. A. I. Smirnov, H. Yashiro, S. Kimura et al., Phys. Rev. B 75, 134412 (2007).
- 7. J. L. Jacobsen, J. Salas, C. R. Scullard, J. Phys. A: Math. Theor. 50, 345002 (2017).
- 8. E. Z. Ising, Phys. 31, 253 (1924).
- 9. G. H. Wannier, Phys. Rev. 79, 357 (1950).
- 10. M. Tisser, B. Delamotte, and D. Mouhanna. Phys. Rev. Lett. 84, 5208 (2000).
- 11. A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov et al., Phase Transitions 94, 394 (2021).
- 12. F. Y. Wu, Rev. Mod. Phys. 54, 235,(1982)
- 13. Errata, Rev. Mod. Phys. 55, 315 (1983).
- 14. M. Nauenberg, and D. J. Scalapino, Phys. Rev. Lett. 44, 837 (1980).
- 15. C. Itzykson, H. Saleur, J.-B. Zuber, Conformal Invariance and Applications to Statistical Mechanics, World Scienti c, Singapore (1988).
- 16. E. Rastellia, S. Reginaa, and A. Tassi, J. Magn. Magn. Mater. 272, 997 (2004).
- 17. S. S Murty, Challa, and D. P. Landau, Phys. Rev. B 33, 437 (1986).
- 18. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
- 19. Li Guanrong, H. P. Kwok, G. Zheng-Cheng, arXiv:2009.10695v1 [cond-mat.stat-mech] 22 Sep 2020.
- 20. Li Zi-Qian, Li-Ping Yang, Z. Y. Xie et al., Phys. Rev. E 101, 060105R, (2020).
- 21. G. Ortiz, E. Cobanera, and Z. Nussinov, Nucl. Phys. B 854, 780 (2012).
- 22. Y. Kumano, K. Hukushima, Y. Tomita et al., Phys. Rev. B 88, 104427 (2013).
- 23. O.A. Negrete, P. Vargas, F. J. Pena et al., Entropy 20, 933 (2018).
- 24. S. Chatterjee, S. Puri, and R. Paul, Phys. Rev. E 98, 032109 (2018).
- 25. T. Surungan, S. Masuda, Y. Komura et al., J. Phys. A 52, 275002 (2019).
- 26. C. O. Hwang, Phys. Rev. E 80, 042103 (2009).
- 27. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133-6 (1966).
- 28. А. К. Муртазаев, М. К. Рамазанов, М. К. Мазагаева и др., ЖЭТФ 156, 502 (2019).
- 29. М. К. Рамазанов, А. К. Муртазаев, М. А. Магомедов, ЖЭТФ 161, 816 (2022).
- 30. М. К. Рамазанов, А. К. Муртазаев, Письма в ЖЭТФ 109, 610 (2019).
- 31. М. К. Рамазанов, А. К. Муртазаев, М. А. Магомедов и др., Письма в ЖЭТФ 114, 762 (2021).
- 32. A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov et al., Physica A 555, 124530 (2020).
- 33. R. Masrour, A. Jabar, A. Benyoussef et al., J. Magn. Magn. Mater. 401, 695 (2016).
- 34. F. Wang, and D. P. Landau, Phys. Rev. E 64, 056101 (2001).
- 35. Y. Chen, Z. Y. Xie, and J. F. Yu, Chin. Phys. B 27, 080503 (2018).
- 36. K. Eichhorn and K. Binder, J. Phys.: Cond. Matt. 8, 5209 (1996).
- 37. D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).
