Phase transitions in the antiferromagnetic Ising model on a body-centered cubic lattice with interactions between next-to-nearest neighbors

2015 ◽  
Vol 120 (1) ◽  
pp. 110-114 ◽  
Author(s):  
A. K. Murtazaev ◽  
M. K. Ramazanov ◽  
F. A. Kassan-Ogly ◽  
D. R. Kurbanova
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Nearest Neighbors ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Antiferromagnetic Ising Model ◽  
Body Centered Cubic Lattice

Phase Transitions in Frustrated Ising Antiferromagnet on a Body-Centered Cubic Lattice with Next-Nearest Neighbor Interactions

2015 ◽  
Vol 233-234 ◽  
pp. 86-89
Author(s):  
Akay K. Murtazaev ◽  
Magomedsheykh K. Ramazanov ◽  
Djuma R. Kurbanova
Keyword(s):  
Phase Transitions ◽  
Nearest Neighbor ◽  
Nearest Neighbors ◽  
Monte Carlo Algorithm ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Finite Dimensional ◽  
Ising Antiferromagnet ◽  
Antiferromagnetic Ising Model ◽  
Body Centered Cubic Lattice

The phase transitions in antiferromagnetic Ising model are studied on a body-centered cubic lattice by taking the interactions of next-nearest neighbors into account. The model is investigated on basis of the replica Monte Carlo algorithm and the histogrammic analysis of data. The diagram of the critical temperature dependence on an interaction value of next-nearest neighbors is plotted. The studied model reveals the phase transitions of second order. A static magnetic critical indices is calculated using the finite-dimensional scaling theory.

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.

scholarly journals Влияние магнитного поля на термодинамические и магнитные свойства антиферромагнитной модели Изинга на объемно-центрированной кубической решетке

2020 ◽  
Vol 62 (2) ◽  
pp. 229
Author(s):  
А.К. Муртазаев ◽  
М.К. Рамазанов ◽  
К.Ш. Муртазаев ◽  
М.А. Магомедов ◽  
М.К. Бадиев
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
External Magnetic Field ◽  
Three Dimensional ◽  
Nearest Neighbors ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
The Monte Carlo Method ◽  
Body Centered Cubic Lattice ◽  
Second Order Phase Transition

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

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
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