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

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 Phase transition induced by an external field in a three-dimensional isotropic Heisenberg antiferromagnet

2018 ◽  
Vol 32 (32) ◽  
pp. 1850390
Author(s):  
Minos A. Neto ◽  
J. Roberto Viana ◽  
Octavio D. R. Salmon ◽  
E. Bublitz Filho ◽  
José Ricardo de Sousa
Keyword(s):  
Magnetic Field ◽  
Mean Field ◽  
Three Dimensional ◽  
Effective Field ◽  
The Body ◽  
Bravais Lattice ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic

The critical frontier of the isotropic antiferromagnetic Heisenberg model in a magnetic field along the z-axis has been studied by mean-field and effective-field renormalization group calculations. These methods, abbreviated as MFRG and EFRG, are based on the comparison of two clusters of different sizes, each of them trying to mimic a specific Bravais lattice. The frontier line in the plane of temperature versus magnetic field was obtained for the simple cubic and the body-centered cubic lattices. Spin clusters with sizes N = 1, 2, 4 were used so as to implement MFRG-12, EFRG-12 and EFRG-24 numerical equations. For the simple cubic lattice, the MFRG frontier exhibits a notorious re-entrant behavior. This problem is improved by the EFRG technique. However, both methods agree at lower fields. For the body-centered cubic lattice, the MFRG method did not work. As in the cubic lattice, all the EFRG results agree at lower fields. Nevertheless, the EFRG-12 approach gave no solution for very low temperatures. Comparisons with other methods have been discussed.

Untersuchungen zur Quantenkondensation

1974 ◽  
Vol 29 (10) ◽  
pp. 1387-1393
Author(s):  
P. L. Lin
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
External Magnetic Field ◽  
Thermodynamic Limit ◽  
Order Phase Transition ◽  
Rotating System ◽  
One Dimensional ◽  
Charged System ◽  
Three Space ◽  
Second Order Phase Transition

Abstract It has recently been proved that quantum condensation can possibly occur only when the thermodynamic limit is formed with respect to all three space dimensions. Following this idea, it is shown that a rotating system is practically one-dimensional and therefore does not permit quantum condensation. The same is true for a charged system in an external magnetic field. However, an exact proof is given only for a second order phase transition.

scholarly journals CORRELATION FUNCTIONS OF MULTISITE INTERACTION SPIN-S MODELS ON THE BETHE-LIKE LATTICES

2000 ◽  
Vol 14 (06) ◽  
pp. 589-602
Author(s):  
R. G. GHULGHAZARYAN
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Magnetic Susceptibility ◽  
External Magnetic Field ◽  
Correlation Length ◽  
Correlation Functions ◽  
Critical Index ◽  
Spin Correlation ◽  
Phase Transition Region ◽  
Second Order Phase Transition

Multisite interaction spin-S models in an external magnetic field are studied recursively on the Bethe-like lattices. The transfer-matrix method is extended to calculate exactly the two-spin correlation functions. The exact expressions for the correlation length and magnetic susceptibility are derived for spin-1/2 models. The singularity of the correlation length with critical index ν = 1 and the proportionality of magnetic susceptibility to correlation length in the second order phase transition region of spin-1/2 ferromagnetic models on the Bethe-like lattices are established analytically.

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.

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