Ising model on a body-centered cubic lattice with competing exchange interactions in strong magnetic fields

2021 ◽  
Vol 47 (6) ◽  
pp. 478-482
Author(s):  
K. S. Murtazaev ◽  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
M. A. Magomedov ◽  
A. A. Murtazaeva
Keyword(s):  
Ising Model ◽  
Magnetic Fields ◽  
Exchange Interactions ◽  
Body Centered Cubic ◽  
Strong Magnetic Fields ◽  
Cubic Lattice ◽  
Body Centered Cubic Lattice

scholarly journals Исследование термодинамических свойств модели Изинга на объемно-центрированной кубической решетке с конкурирующими обменными взаимодействиями

2018 ◽  
Vol 60 (9) ◽  
pp. 1798
Author(s):  
А.К. Муртазаев ◽  
М.К. Рамазанов ◽  
М.А. Магомедов ◽  
Д.Р. Курбанова
Keyword(s):  
Phase Transition ◽  
Ground State ◽  
Exchange Interactions ◽  
Nearest Neighbors ◽  
Body Centered Cubic ◽  
Magnetic Structures ◽  
Cubic Lattice ◽  
The Monte Carlo Method ◽  
Antiferromagnetic Ising Model ◽  
Body Centered Cubic Lattice

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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