RAS PhysicsЖурнал экспериментальной и теоретической физики Journal of Experimental and Theoretical Physics

  • ISSN (Print) 0044-4510
  • ISSN (Online) 3034-641X

Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice

PII
10.31857/S004445102306007X-1
DOI
10.31857/S004445102306007X
Publication type
Article
Status
Published
Authors
Volume/ Edition
Volume 163 / Issue number 6
Pages
816-821
Abstract
We have studied phase transitions and thermodynamic properties of the antiferromagnetic Potts model with number of spin states q = 3 on a body-centered cubic lattice by the Monte Carlo method. Investigations have been performed with account for exchange interactions J1 and J2 between the first and second nearest neighbors. The phase transition order has been analyzed using the histogram method. It is found that in this model with J2 = 0, a second-order phase transition is observed. It is concluded that the inclusion of the interaction between the second nearest neighbors changes the type of the phase transition.
Keywords
Date of publication
15.06.2023
Year of publication
2023
Number of purchasers
0
Views
52

References

  1. 1. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
  2. 2. R. J. Baxter, J. Phys. C 6, 445 (1973).
  3. 3. C. Yamaguchi and Y. Okabe, J. Phys. A 34, 8781 (2001).
  4. 4. R. Tamura, S. Tanaka, and N. Kawashima, Prog. Theor. Phys. 124, 381 (2010).
  5. 5. T. Surungan, Y. Komura, and Y. Okabe, AIP Conference Proceedings 1617, 79 (2014).
  6. 6. W. Zhang and Y. Deng, Phys. Rev. E 78, 031103 (2008).
  7. 7. H. T. Diep, Frustrated Spin Systems, World Scienti c Publishing, Singapore (2004).
  8. 8. I. Puha and H. T. Diep, J. Appl. Phys. 87, 5905 (2000).
  9. 9. Zh. Fu, W. Guo, and H. W. J. Bl¨ote, Phys. Rev. E 101, 012118 (2020).
  10. 10. M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, Physica A 521, 543 (2019).
  11. 11. Ф. А. Кассан-Оглы, А. И. Прошкин, ФТТ 60, 1078 (2018).
  12. 12. Y. Panov and O. Rojas, Phys. Rev. E 103, 062107 (2021).
  13. 13. Д. Р. Курбанова, А. К. Муртазаев, М. К. Рамазанов, М. А. Магомедов, Т. А. Тааев, ЖЭТФ 158, 1095 (2020).
  14. 14. А. К. Муртазаев, М. К. Рамазанов, М. К. Мазагаева, М. А. Магомедов, ЖЭТФ 156, 502 (2019).
  15. 15. М. К. Рамазанов, А. К. Муртазаев, М. А. Магомедов, М. К. Мазагаева, Письма в ЖЭТФ 114, 762 (2021).
  16. 16. Д. Р. Курбанова, А. К. Муртазаев, М. К. Рамазанов, М. А. Магомедов, Письма в ЖЭТФ 115, 505 (2022).
  17. 17. M. Nauenberg, D. J. Scalapino, Phys. Rev. Lett. 44, 837 (1980).
  18. 18. J. L. Cardy, M. Nauenberg, and D. J. Scalapino, Phys. Rev. B 22, 2560 (1980).
  19. 19. A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. A. Magomedov, and K. Sh. Murtazaev, Mat. Lett. 236, 669 (2019).
  20. 20. А. К. Муртазаев, М. К. Рамазанов, М. А. Магомедов, Д. Р. Курбанова, ФТТ 60, 1798 (2018).
  21. 21. A. K. Murtazaev, D. R. Kurbanova, and M. K. Ramazanov, Physica A 545, 123548 (2020).
  22. 22. D. P. Landau and K. Binder, Monte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge (2000).
  23. 23. А. О. Сорокин, Письма в ЖЭТФ 109, 423 (2019).
  24. 24. А. О. Сорокин, Письма в ЖЭТФ 111, 34 (2020).
  25. 25. A. Mitsutake, Y. Sugita, and Y. Okamoto, Biopolymers (Peptide Science) 60, 96 (2001).
  26. 26. F. Wang and D. P. Landau, Phys. Rev. E 64, 056101 (2001).
  27. 27. C. Zhou and R. N. Bhatt, Phys. Rev. E 72, 025701 (2005).
  28. 28. F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001).
  29. 29. Y. Komura and Y. Okabe, Phys. Rev. E 85, 010102 (2012).
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