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Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice

  • ORDER, DISORDER, AND PHASE TRANSITION IN CONDENSED SYSTEM
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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.

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REFERENCES

  1. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).

    Article  ADS  Google Scholar 

  2. R. J. Baxter, J. Phys. C 6, 445 (1973).

    Article  ADS  Google Scholar 

  3. C. Yamaguchi and Y. Okabe, J. Phys. A 34, 8781 (2001).

    Article  MathSciNet  ADS  Google Scholar 

  4. R. Tamura, S. Tanaka, and N. Kawashima, Prog. Theor. Phys. 124, 381 (2010).

    Article  ADS  Google Scholar 

  5. T. Surungan, Y. Komura, and Y. Okabe, AIP Conf. Proc. 1617, 79 (2014).

    Article  ADS  Google Scholar 

  6. W. Zhang and Y. Deng, Phys. Rev. E 78, 031103 (2008).

  7. H. T. Diep, Frustrated Spin Systems (World Scientific, Singapore, 2004).

    MATH  Google Scholar 

  8. I. Puha and H. T. Diep, J. Appl. Phys. 87, 5905 (2000).

    Article  ADS  Google Scholar 

  9. Zh. Fu, W. Guo, and H. W. J. Blöte, Phys. Rev. E 101, 012118 (2020).

  10. M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, Phys. A (Amsterdam, Neth.) 521, 543 (2019).

  11. F. A. Kassan-Ogly and A. I. Proshkin, Phys. Solid State 60, 1090 (2018).

    Article  ADS  Google Scholar 

  12. Y. Panov and O. Rojas, Phys. Rev. E 103, 062107 (2021).

  13. D. R. Kurbanova, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, and T. A. Taaev, J. Exp. Theor. Phys. 131, 951 (2020).

    Article  ADS  Google Scholar 

  14. A. K. Murtazaev, M. K. Ramazanov, M. K. Mazagaeva, and M. A. Magomedov, J. Exp. Theor. Phys. 129, 421 (2019).

    Article  ADS  Google Scholar 

  15. M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, and M. K. Mazagaeva, JETP Lett. 114, 693 (2021).

    Article  ADS  Google Scholar 

  16. D. R. Kurbanova A. K. Murtazaev, M. K. Ramazanov, and M. A. Magomedov, JETP Lett. 115, 471 (2022).

    ADS  Google Scholar 

  17. M. Nauenberg and D. J. Scalapino, Phys. Rev. Lett. 44, 837 (1980).

    Article  ADS  Google Scholar 

  18. J. L. Cardy, M. Nauenberg, and D. J. Scalapino, Phys. Rev. B 22, 2560 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  19. A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. A. Magomedov, and K. Sh. Murtazaev, Mater. Lett. 236, 669 (2019).

    Article  Google Scholar 

  20. A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, and D. R. Kurbanova, Phys. Solid State 60, 1848 (2018).

    Article  ADS  Google Scholar 

  21. A. K. Murtazaev, D. R. Kurbanova, and M. K. Ramazanov, Phys. A (Amsterdam, Neth.) 545, 123548 (2020).

  22. D. P. Landau and K. Binder, Monte Carlo Simulations in Statistical Physics (Cambridge Univ. Press, Cambridge, 2000).

    MATH  Google Scholar 

  23. A. O. Sorokin, JETP Lett. 109, 419 (2019).

    Article  ADS  Google Scholar 

  24. A. O. Sorokin, JETP Lett. 111, 41 (2020).

    Article  ADS  Google Scholar 

  25. A. Mitsutake, Y. Sugita, and Y. Okamoto, Biopolymers (Peptide Sci.) 60, 96 (2001).

  26. F. Wang and D. P. Landau, Phys. Rev. E 64, 056101 (2001).

  27. C. Zhou and R. N. Bhatt, Phys. Rev. E 72, 025701 (2005).

  28. F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001).

    Article  ADS  Google Scholar 

  29. Y. Komura and Y. Okabe, Phys. Rev. E 85, 010102 (2012).

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Funding

This study was supported by a grant of the President of the Russian Federation for supporting young Russian scientists (no. MK-5223.2022.1.2).

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Authors and Affiliations

  1. Amirkhanov Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, 367015, Makhachkala, Russia

    D. R. Kurbanova, M. K. Ramazanov, M. A. Magomedov & A. K. Murtazaev

Authors
  1. D. R. Kurbanova
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  2. M. K. Ramazanov
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  3. M. A. Magomedov
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  4. A. K. Murtazaev
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Corresponding author

Correspondence to D. R. Kurbanova.

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The authors declare that they have no conflicts of interest.

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Translated by N. Wadhwa

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Kurbanova, D.R., Ramazanov, M.K., Magomedov, M.A. et al. Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice. J. Exp. Theor. Phys. 136, 729–733 (2023). https://doi.org/10.1134/S1063776123060079

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  • DOI: https://doi.org/10.1134/S1063776123060079

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