Fazovye perekhody v chasovoy modeli s chislom sostoyaniy spina q = 5 na treugol'noy reshetke
- Authors: Murtazaev A.K.1, Badiev M.K.1, Magomedov M.A.1, Ramazanov M.K.1
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Affiliations:
- Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences
- Issue: Vol 164, No 5 (2023)
- Pages: 790-796
- Section: Articles
- URL: https://journals.rcsi.science/0044-4510/article/view/247339
- DOI: https://doi.org/10.31857/S0044451023110093
- EDN: https://elibrary.ru/PJUZJA
- ID: 247339
Cite item
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
- Л. Е. Свистов, Л. А. Прозорова, Н. Бюттген и др., Письма в ЖЭТФ 81, 133 (2005).
- С. Е. Коршунов, УФН 176, 233 (2006).
- M. Tisser, B. Delamotte, D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000).
- P. Calabrese, P. Parruccini, A. Pelissetto et al., Phys. Rev. B 70, 174439-1 (2004).
- М. К. Бадиев, А. К. Муртазаев, М. К. Рамазанов и др., ЖЭТФ 161, 753 (2022).
- A. I. Smirnov, H. Yashiro, S. Kimura et al., Phys. Rev. B 75, 134412 (2007).
- J. L. Jacobsen, J. Salas, C. R. Scullard, J. Phys. A: Math. Theor. 50, 345002 (2017).
- E. Z. Ising, Phys. 31, 253 (1924).
- G. H. Wannier, Phys. Rev. 79, 357 (1950).
- M. Tisser, B. Delamotte, and D. Mouhanna. Phys. Rev. Lett. 84, 5208 (2000).
- A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov et al., Phase Transitions 94, 394 (2021).
- F. Y. Wu, Rev. Mod. Phys. 54, 235,(1982)
- Errata, Rev. Mod. Phys. 55, 315 (1983).
- M. Nauenberg, and D. J. Scalapino, Phys. Rev. Lett. 44, 837 (1980).
- C. Itzykson, H. Saleur, J.-B. Zuber, Conformal Invariance and Applications to Statistical Mechanics, World Scienti c, Singapore (1988).
- E. Rastellia, S. Reginaa, and A. Tassi, J. Magn. Magn. Mater. 272, 997 (2004).
- S. S Murty, Challa, and D. P. Landau, Phys. Rev. B 33, 437 (1986).
- Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
- Li Guanrong, H. P. Kwok, G. Zheng-Cheng, arXiv:2009.10695v1 [cond-mat.stat-mech] 22 Sep 2020.
- Li Zi-Qian, Li-Ping Yang, Z. Y. Xie et al., Phys. Rev. E 101, 060105R, (2020).
- G. Ortiz, E. Cobanera, and Z. Nussinov, Nucl. Phys. B 854, 780 (2012).
- Y. Kumano, K. Hukushima, Y. Tomita et al., Phys. Rev. B 88, 104427 (2013).
- O.A. Negrete, P. Vargas, F. J. Pena et al., Entropy 20, 933 (2018).
- S. Chatterjee, S. Puri, and R. Paul, Phys. Rev. E 98, 032109 (2018).
- T. Surungan, S. Masuda, Y. Komura et al., J. Phys. A 52, 275002 (2019).
- C. O. Hwang, Phys. Rev. E 80, 042103 (2009).
- N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133-6 (1966).
- А. К. Муртазаев, М. К. Рамазанов, М. К. Мазагаева и др., ЖЭТФ 156, 502 (2019).
- М. К. Рамазанов, А. К. Муртазаев, М. А. Магомедов, ЖЭТФ 161, 816 (2022).
- М. К. Рамазанов, А. К. Муртазаев, Письма в ЖЭТФ 109, 610 (2019).
- М. К. Рамазанов, А. К. Муртазаев, М. А. Магомедов и др., Письма в ЖЭТФ 114, 762 (2021).
- A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov et al., Physica A 555, 124530 (2020).
- R. Masrour, A. Jabar, A. Benyoussef et al., J. Magn. Magn. Mater. 401, 695 (2016).
- F. Wang, and D. P. Landau, Phys. Rev. E 64, 056101 (2001).
- Y. Chen, Z. Y. Xie, and J. F. Yu, Chin. Phys. B 27, 080503 (2018).
- K. Eichhorn and K. Binder, J. Phys.: Cond. Matt. 8, 5209 (1996).
- D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).