Ramazanov M. K.1, Magomedov M. A.1, Murtazaev A. K.1, Rizvanova T. R.1, Ramazanov R. M.2
1Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
2Dagestan State University, Makhachkala, Dagestan Republic, Russia
Email: sheikh77@mail.ru
Using the method of computer simulation, phase transitions of the two-dimensional antiferromagnetic Potts model with the number of spin states q=4 on the kagome lattice with interactions of the first J1 and second J2 neighbors were carried out. The studies were carried out for the magnitude of the exchange interaction of second neighbors in the range 0≤ J_2≤ 1. A phase diagram of the dependence of the critical temperature on the magnitude of interactions of second neighbors was constructed. An analysis of the nature of phase transitions was carried out. It was found that for values J_2=0 and 0.1 there is no phase transition in this model. It is shown that in the range 0.2≤ J_2≤ 1 a second-order phase transition is observed. Keywords: frustrations, phase transitions, Monte Carlo method, Potts model.
- H.T. Diep. Frustrated Spin Systems. World Scientific Publishing Co. Pte. Ltd., Singapore (2004). P. 624
- F.A. Kassan-Ogly, A.K. Murtazaev, A.K. Zhuravlev, M.K. Ramazanov, A.I. Proshkin. JMMM 384, 247 (2015)
- M.K. Ramazanov, A.K. Murtazaev. FTT 65, 1455 (2023). (in Russian)
- F.Y. Wu. Rev. Mod. Phys. 54, 235 (1982)
- W. Zhang, Y. Deng. Phys. Rev. E 78, 031103 (2008)
- L. Schwenger, K. Budde, C. Voges, H. Pfnur. Phys. Rev. Lett. 73, 296 (1994)
- K. Budde, L. Schwenger, C. Voges, H. Pfnur. Phys. Rev. B 52, 9275 (1995)
- M. Nauenberg, D.J. Scalapino. Phys. Rev. Lett. 44, 837 (1980)
- J.L. Cardy, M. Nauenberg, D.J. Scalapino. Phys. Rev. B 22, 2560 (1980)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov. Phys. A 521, 543 (2019)
- H. Feldmann, A.J. Guttmann, I. Jensen, R. Shrock, S.-H. Tsai. J. Phys. A 31, 2287 (1998)
- F.A. Kassan-Ogly, A.I. Proshkin. Phys. Solid State. 60, 1090 (2018)
- M.A. Fadeeva, L.N. Schur. ZhETF 162, 909 (2022). (in Russian)
- A.K. Murtazaev, M.K. Ramazanov, M.K. Mazagaeva, M.A. Magomedov. ZhETF 156, 502 (2019). (in Russian)
- D.R. Kurbanova, M.K. Ramazanov, M.A. Magomedov, A.K. Murtazaev. ZhETF 163, 816 (2023). (in Russian)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, M.K. Mazagaeva. FMM 124, 339 (2023). (in Russian)
- M.G. Townsend, G. Longworth, E. Roudaut. Phys. Rev. B 33, 4919 (1986)
- Y. Chiaki, O. Yutaka. J. Phys. A 34, 8781 (2001)
- F. Wang, D.P. Landau. Phys. Rev. E 64, 0561011-1 (2001)
- F.A. Kassan-Ogly F.A., B.N. Filippov, A.K. Murtazaev, M.K. Ramazanov, M.K. Badiev. JMMM 24, 3418 (2012)
- K. Binder, D. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction. Springer, Berlin, Heidelberg (2010)
- F. Wang, D.P. Landau. Phys. Rev. Lett. 86, 2050 (2001)
- M. K. Ramazanov, A.K. Murtazaev. Pis'ma v ZhETF 103, 522 (2016). (in Russian)
- A.K. Murtazaev, T.R. Rizvanova, M.K. Ramazanov, M.A. Magomedov. FTT 62, 1278 (2020). (in Russian)
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