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Phase diagram of the antiferromagnetic 3-state Potts model on a bcc lattice with competing interactions

Djuma R. Kurbanova, M.A. Magomedov, M.R. Dzhamaludinov +2 more

Physica A Statistical Mechanics and its ApplicationsJul 30, 20253 citations

Phase diagram and ground state of the decorated Ising model on a triangular lattice with first neighbor antiferromagnetic and second neighbor ferromagnetic interactions

Vadim A. Mutailamov, Akai Kurbanovich Murtazaev

Physica E Low-dimensional Systems and NanostructuresSep 23, 20236 citations

Study of Phase Transitions in the Antiferromagnetic Heisenberg Model on a Body-Centered Cubic Lattice by Monte Carlo Simulation

Akai Kurbanovich Murtazaev, Felix A. Kassan-Ogly, Рамазанов Магомедшейх Курбанович +1 more

Abstract—Phase transitions in the antiferromagnetic Heisenberg model on the body-centered cubic lattice were studied using the replica algorithm of the Monte Carlo method, taking into account the interactions between the first and second neighbors. The investigations were performed for the ratio of the value of the exchange interactions between the nearest and second neighbors in the range 0.0 ≤ r ≤ 1.0. The phase diagram of critical temperature versus the value of interaction between the second neighbors was constructed. The region in the diagram where the transition from antiferromagnetic to paramagnetic phase is of the first order was discovered for the first time in this study.Abstract—Phase transitions in the antiferromagnetic Heisenberg model on the body-centered cubic lattice were studied using the replica algorithm of the Monte Carlo method, taking into account the interactions between the first and second neighbors. The investigations were performed for the ratio of the value of the exchange interactions between the nearest and second neighbors in the range 0.0 ≤ r ≤ 1.0. The phase diagram of critical temperature versus the value of interaction between the second neighbors was constructed. The region in the diagram where the transition from antiferromagnetic to paramagnetic phase is of the first order was discovered for the first time in this study.

The Physics of Metals and MetallographyApr 1, 20206 citations

Phase Diagram of the Antiferromagnetic Ising Model with Competing Exchange Interactions in the Magnetic Field

Kurban Murtazaev, М. А. Магомедов, Akai Kurbanovich Murtazaev +1 more

Jan 1, 20220 citations

Phase Transitions and Critical Properties of the Heisenberg Antiferromagnetic Model on a Body-Centered Cubic Lattice with Second Nearest Neighbor Interaction

Akai Kurbanovich Murtazaev, Djuma R. Kurbanova, Рамазанов Магомедшейх Курбанович

Abstract Phase transitions and critical properties of the antiferromagnetic Heisenberg model on a body-centered cubic lattice are investigated by the Monte Carlo method, based on the replica algorithm with allowance of the interactions between the first and second nearest neighbors. Analysis is performed for intensity ratios r of exchange interaction between the first and second nearest neighbors in the interval 0.0 ≤ r ≤ 1.0. The phase diagram of the dependence of the critical temperature on the intensity of interaction of the second nearest neighbors is constructed. On this diagram, a region in which the transition from the antiferromagnetic to the paramagnetic phase is of the first order is detected. The entire set of the main static critical indices is calculated. It is shown that the universality class of the critical behavior is preserved in the interval 0.0 ≤ r ≤ 0.6. It is found that the variation of the second nearest neighbor interaction intensity in the range 0.8 ≤ r ≤ 1.0 leads to nonuniversal critical behavior.Abstract Phase transitions and critical properties of the antiferromagnetic Heisenberg model on a body-centered cubic lattice are investigated by the Monte Carlo method, based on the replica algorithm with allowance of the interactions between the first and second nearest neighbors. Analysis is performed for intensity ratios r of exchange interaction between the first and second nearest neighbors in the interval 0.0 ≤ r ≤ 1.0. The phase diagram of the dependence of the critical temperature on the intensity of interaction of the second nearest neighbors is constructed. On this diagram, a region in which the transition from the antiferromagnetic to the paramagnetic phase is of the first order is detected. The entire set of the main static critical indices is calculated. It is shown that the universality class of the critical behavior is preserved in the interval 0.0 ≤ r ≤ 0.6. It is found that the variation of the second nearest neighbor interaction intensity in the range 0.8 ≤ r ≤ 1.0 leads to nonuniversal critical behavior.

Journal of Experimental and Theoretical PhysicsNov 1, 201915 citations

Phase diagram of the antiferromagnetic triangular Ising model with anisotropic interactions

Ken‐Yu Lin, Fa Yueh Wu

The European Physical Journal BJun 1, 197928 citations

Phase diagram of the antiferromagnetic Heisenberg model on a bcc lattice with competing first and second neighbor interactions

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