Fazovye perekhody v chasovoy modeli s chislom sostoyaniy spina q = 5 na treugol'noy reshetke

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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.

About the authors

A. K. Murtazaev

Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. K. Badiev

Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. A. Magomedov

Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Email: m_zagir@mail.ru
367003, Makhachkala, Russia

M. K. Ramazanov

Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences

Author for correspondence.
Email: m_zagir@mail.ru
367003, Makhachkala, Russia

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).

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