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.
REFERENCES
L. E. Svistov, L. A. Prozorova, N. Byuttgen, A. Ya. Shapiro, and L. N. Dem’yanets, JETP Lett. 81, 102 (2005).
S. E. Korshunov, Phys. Usp. 49, 225 (2006).
M. Tisser, B. Delamotte, and D. Mouhanna, Phys. Rev. Lett. 84, 5208 (2000).
P. Calabrese, P. Parruccini, A. Pelissetto, et al., Phys. Rev. B 70, 174439 (2004).
M. K. Badiev, A. K. Murtazaev, M. K. Ramazanov, and M. A. Magomedov, J. Exp. Theor. Phys. 134, 644 (2022).
A. I. Smirnov, H. Yashiro, S. Kimura, et al., Phys. Rev. B 75, 134412 (2007).
J. L. Jacobsen, J. Salas, and 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 Trans. 94, 394 (2021).
F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982);
Rev. Mod. Phys. 55, 315(E) (1983).
M. Nauenberg and D. J. Scalapino, Phys. Rev. Lett. 44, 837 (1980).
C. Itzykson, H. Saleur, and J.-B. Zuber, Conformal Invariance and Applications to Statistical Mechanics (World Scientific, 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, and G. Zheng-Cheng, arXiv: 2009.10695v1 [cond-mat.stat-mech] (2020).
Li Zi-Qian, Li-Ping Yang, Z. Y. Xie, et al., Phys. Rev. E 101, 060105(R) (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 (1966).
A. K. Murtazaev, M. K. Ramazanov, M. K. Mazagaeva, and M. A. Magomedov, J. Exp. Theor. Phys. 129, 421 (2019).
M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, J. Exp. Theor. Phys. 134, 693 (2022).
M. K. Ramazanov and A. K. Murtazaev, JETP Lett. 109, 589 (2019).
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, and M. K. Mazagaeva, JETP Lett. 114, 693 (2021).
A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov, et al., Phys. A (Amsterdam, Neth.) 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.: Condens. Matter 8, 5209 (1996).
D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).
Funding
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Translated by V. Astakhov
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Murtazaev, A.K., Badiev, M.K., Magomedov, M.A. et al. Phase Transitions in the Clock Model with q = 5 Spin States on a Triangular Lattice. J. Exp. Theor. Phys. 137, 682–687 (2023). https://doi.org/10.1134/S1063776123110080
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776123110080