Phase transitions in a three-dimensional ferromagnetic Potts model on a kagome lattice
Ramazanov M.K. 1,2, Murtazaev A.K. 1,2, Rizvanova T.R. 1, Dzhamaludinov M.R.1, Magomedov M.A.1,2
1Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia
2Dagestan State University, Makhachkala, Dagestan Republic, Russia
Email: sheikh77@mail.ru
The Monte Carlo method was used to study phase transitions and thermodynamic properties of the three-dimensional ferromagnetic Potts model with the number of spin states q=4 on the kagome lattice with nearest neighbor interactions. Temperature dependences of energy and heat capacity were constructed. The nature of the phase transition was analyzed using the fourth-order Binder cumulants method and the histogram method. It was found that the first-order phase transition is observed in this model. Keywords: Monte Carlo method, Binder cumulants, spin interactions, heat capacity.
- M. Schmidt, G.L. Kohlrausch, F.M. Zimmer. Physica A 596, 127126 (2022)
- K. Dutta, D. Talukdar. JMMM 556, 169344 (2022)
- D.N. Yasinskaya, V.A. Ulitko, Yu.D. Panov. Phys. Solid State 63, 10, 1588 (2021)
- A.O. Sorokin. Physica A 602, 127621 (2022)
- A.K. Murtazaev, M.K. Ramazanov. Phys. Solid State 65, 9, 1399 (2023)
- I.K. Kamilov, A.K. Murtazaev, Kh.K. Aliev. Phys. --- Uspekhi 42, 7, 689 (1999)
- A.V. Zarubin, F.A. Kassan-Ogly, A.I. Proshkin. JMMM 514, 167144 (2020)
- E.S. Tsuvarev, F.A. Kassan-Ogly, A.I. Proshkin. JETP 131, (2020)
- K. Binder, D.W. Heermann. Monte Carlo Simulation in Statistical Physics: An Introduction. Springer, Berlin/Heidelberg (2010)
- F.Y. Wu. Rev. Mod. Phys. 54, 1, 235 (1982)
- H.T. Diep. Frustrated Spin Systems. World Scientific Publishing Co. Pte. Ltd., Singapore (2004). P. 624
- W. Zhang, Y. Deng. Phys. Rev. E 78, 3, 031103 (2008)
- L. Schwenger, K. Budde, C. Voges, H. Pfnur. Phys. Rev. Lett. 73, 2, 296 (1994)
- K. Budde, L. Schwenger, C. Voges, H. Pfnur. Phys. Rev. B 52, 13, 9275 (1995)
- M. Nauenberg, D.J. Scalapino. Phys. Rev. Lett. 44, 13, 837 (1980)
- J.L. Cardy, M. Nauenberg, D.J. Scalapino. Phys. Rev. B 22, 5, 2560 (1980)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov. Physica A 521, 543 (2019)
- H. Feldmann, A.J. Guttmann, I. Jensen, R. Shrock, S.-H. Tsai. J. Phys. A 31, 10, 2287 (1998)
- H. Duminil-Copin, V. Sidoravicius, V. Tassion. Commun. Math. Phys. 349, 1, 47 (2017)
- N. Schreiber, R. Cohen, S. Haber. Phys. Rev. E 97, 3, 032106 (2018)
- F.A. Kassan-Ogly, A.I. Proshkin. Phys. Solid State 60, 1090 (2018)
- M.A. Fadeeva, L.N. Shchur. JETP 135, 6, 869 (2022)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, M.K. Mazagaeva. Phys, Metals. Metallogr. 124, 5, 429 (2023)
- R.J. Baxter. J. Phys. C 6, 23, L445 (1973)
- C. Yamaguchi, Y. Okabe. J. Phys. A 34, 42, 8781 (2001)
- M.K. Ramazanov, A.K. Murtazaev. JETP Lett. 101, 10, 714 (2015)
- M.K. Ramazanov, A.K. Murtazaev. JETP Lett. 106, 2, 86 (2017)
- M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, M.K. Mazagaeva. Phys. Solid State 62, 3, 499 (2020)
- M.K. Ramazanov, A.K. Murtazaev. JETP Lett. 109, 9, 589 (2019)
- A. Mitsutake, Y. Sugita, Y. Okamoto. Biopolymers (Peptide Sci.) 60, 2, 96 (2001)
- P. Peczak, A.M. Ferrenberg, D.P. Landau. Phys. Rev. B 43, 7, 6087 (1991)
- F. Wang, D.P. Landau. Phys. Rev. E 64, 5, 0561011 (2001)
- F. Wang, D.P. Landau. Phys. Rev. Lett. 86, 10, 2050 (2001)
- M.K. Ramazanov, A.K. Murtazaev. JETP Lett. 103, 7, 460 (2016)
- A.K. Murtazaev, T.R. Rizvanova, M.K. Ramazanov, M.A. Magomedov. Phys. Solid State 62, 8, 1434 (2020)
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