Effect of Magnetic Field on the Thermodynamic and Magnetic Properties of the Antiferromagnetic Ising Model on a Body-Centered Cubic Lattice

2020 ◽  
Vol 62 (2) ◽  
pp. 273-277 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
K. Sh. Murtazaev ◽  
M. A. Magomedov ◽  
M. K. Badiev
2020 ◽  
Vol 62 (2) ◽  
pp. 229
Author(s):  
А.К. Муртазаев ◽  
М.К. Рамазанов ◽  
К.Ш. Муртазаев ◽  
М.А. Магомедов ◽  
М.К. Бадиев

The influence of the external magnetic field on the phase transitions, thermodynamic and magnetic properties of the three-dimensional Ising model of antiferromagnetic on a body-centered cubic lattice taking into account the interactions of the second nearest neighbors is studied by the replica algorithm of the Monte Carlo method. A phase diagram of the dependence of the critical temperature on the external magnetic field has been constructed. It is shown that a second-order phase transition is observed in the considered range of magnetic field values


2021 ◽  
Vol 47 (6) ◽  
pp. 478-482
Author(s):  
K. S. Murtazaev ◽  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
M. A. Magomedov ◽  
A. A. Murtazaeva

2018 ◽  
Vol 60 (9) ◽  
pp. 1798
Author(s):  
А.К. Муртазаев ◽  
М.К. Рамазанов ◽  
М.А. Магомедов ◽  
Д.Р. Курбанова

AbstractUsing the Monte Carlo method, magnetic structures of the ground state and thermodynamic properties of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions are studied. The investigations are carried out for the ratio of the exchange interactions of next and nearest neighbors r = J _2/ J _1 = 2/3. All possible magnetic structures of the ground state for this ratio of exchange interactions have been obtained. It has been shown that at r = 2/3 the competition of exchange interactions does not lead to the appearance of frustration and degeneracy of the ground state. Based on the histogram data analysis, it has been shown that the phase transition of the second kind is observed in the model under study at r = 2/3.


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