Abstract
The effect of an external magnetic field on the phase transitions and the thermodynamic and magnetic properties of the three-dimensional antiferromagnetic Ising model on a body-centered cubic lattice has been studied using a replica algorithm of the Monte Carlo method, taking into account the interactions of next nearest neighbors. A phase diagram of the dependence of the critical temperature on an external magnetic field has been built. It is shown that a second-order phase transition is observed in the magnetic field range under consideration.
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REFERENCES
A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions (Nauka, Moscow, 1982) [in Russian].
Sh.-k. Ma, Modern Theory of Critical Phenomena (Mir, Moscow, 1980; Perseus, Cambridge, MA, 2000).
R. S. Gekht, Sov. Phys. Usp. 32, 871 (1989).
K. Katsumata, H. Aruga Katori, S. Kimura, Y. Narumi, M. Hagiwara, and K. Kindo, Phys. Rev. B 82, 104402 (2010).
A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, and M. K. Badiev, Phys. Solid State 60, 1173 (2018).
A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. A. Magomedov, and K. Sh. Murtazaev, Mater. Lett. 236, 669 (2019).
A. K. Murtazaev, M. K. Ramazanov, F. A. Kassan-Ogly, and D. R. Kurbanova, J. Exp. Theor. Phys. 120, 110 (2015).
A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, Phys. B (Amsterdam, Neth.) 476, 1 (2015).
M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, Phys. A (Amsterdam, Neth.) 521, 543 (2019).
A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. K. Badiev, and Ya. K. Abuev, Phys. Solid State 59, 1103 (2017).
F. A. Kassan-Ogly and A. I. Proshkin, Phys. Solid State 60, 1090 (2018).
A. I. Proshkin and F. A. Kassan-Ogly, Mater. Sci. Forum 845, 93 (2016).
H. Kawamura, J. Phys. Soc. Jpn. 61, 1299 (1992).
A. Mailhot, M. L. Plumer, and A. Caille, Phys. Rev. B 50, 6854 (1994).
L. E. Svistov, A. I. Smirnov, L. A. Prozorova, O. A. Petrenko, A. Ya. Shapiro, and L. N. Dem’yants, JETP Lett. 80, 204 (2004).
A. K. Murtazaev, M. A. Magomedov, and M. K. Ramazanov, JETP Lett. 107, 259 (2018).
M. K. Ramazanov and A. K. Murtazaev, JETP Lett. 103, 460 (2016).
M. K. Ramazanov and A. K. Murtazaev, JETP Lett. 106, 86 (2017).
A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, Phys. A (Amsterdam, Neth.) 507, 210 (2018).
F. A. Kassan-Ogly, A. K. Murtazaev, A. K. Zhuravlev, M. K. Ramazanov, and A. I. Proshkin, J. Magn. Magn. Mater. 384, 247 (2015).
M. K. Ramazanov, A. K. Murtazaev, and M. A. Magomedov, Solid State Commun. 233, 35 (2016).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, Part 1 (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
Funding
This work was supported by the Russian Foundation for Basic Research, projects nos. 18-32-00391-mol-a, 19-02-00153-a, and 18-32-20098-mol-a-ved.
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Translated by Yu. Ryzhkov
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Murtazaev, A.K., Ramazanov, M.K., Murtazaev, K.S. et al. Effect of Magnetic Field on the Thermodynamic and Magnetic Properties of the Antiferromagnetic Ising Model on a Body-Centered Cubic Lattice. Phys. Solid State 62, 273–277 (2020). https://doi.org/10.1134/S1063783420020171
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DOI: https://doi.org/10.1134/S1063783420020171