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.
Keywords:
Ising model, Monte-Carlo method, phase transition, magnetic field.
Citation:
A. K. Murtazaev, M. K. Ramazanov, K. Sh. Murtazaev, M. A. Magomedov, M. K. Badiev, “Effect of magnetic field on the thermodynamic and magnetic properties of the antiferromagnetic Ising model on a body-centered cubic lattice”, Fizika Tverdogo Tela, 62:2 (2020), 229–233; Phys. Solid State, 62:2 (2020), 273–277
\Bibitem{MurRamMur20}
\by A.~K.~Murtazaev, M.~K.~Ramazanov, K.~Sh.~Murtazaev, M.~A.~Magomedov, M.~K.~Badiev
\paper Effect of magnetic field on the thermodynamic and magnetic properties of the antiferromagnetic Ising model on a body-centered cubic lattice
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 2
\pages 229--233
\mathnet{http://mi.mathnet.ru/ftt8490}
\crossref{https://doi.org/10.21883/FTT.2020.02.48872.553}
\elib{https://elibrary.ru/item.asp?id=42571216}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 2
\pages 273--277
\crossref{https://doi.org/10.1134/S1063783420020171}
Linking options:
https://www.mathnet.ru/eng/ftt8490
https://www.mathnet.ru/eng/ftt/v62/i2/p229
This publication is cited in the following 7 articles:
S. V. Semkin, V. P. Smagin, “Free energy, entropy, and magnetization of a one-dimensional
Ising model of a diluted magnet”, Theoret. and Math. Phys., 217:2 (2023), 1788–1794
K. Sh Murtazaev, M.A. Magomedov, A.K. Murtazaev, M.K. Ramazanov, “Phase diagram of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions under a magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, 148 (2023), 115646
K. Sh. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, “Phase Transitions in an Antiferromagnetic Ising Model with Competitive Exchange Interactions in a Magnetic Field”, Bull. Russ. Acad. Sci. Phys., 86:2 (2022), 130
A.K. Murtazaev, M.A. Magomedov, M.K. Ramazanov, M.K. Badiev, “Magnetic and thermodynamic properties of the antiferromagnetic Ising model on a layered triangular lattice in a magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, 142 (2022), 115320
A. K. Murtazaev, M. K. Badiev, M. K. Ramazanov, M. A. Magomedov, “Effect of a magnetic field on the phase transitions in the Heisenberg model on a triangular lattice”, Phys. Solid State, 63:8 (2021), 1262–1266
K. S. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaeva, “Ising model on a body-centered cubic lattice with competing exchange interactions in strong magnetic fields”, Low Temperature Physics, 47:6 (2021), 478
A. K. Murtazaev, T. R. Rizvanova, M. K. Ramazanov, M. A. Magomedov, “Phase transitions and the thermodynamic properties of the Potts model with the spin state number $q$ = 4 at a kagome lattice”, Phys. Solid State, 62:8 (2020), 1434–1438