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First-order transition features of the triangular Ising model with nearest- and next-nearest-neighbor antiferromagnetic interactions

Anastasios Malakis, Nikolaos G. Fytas, P. A. Kalozoumis

arXiv:0809.2537Physica A Statistical Mechanics and its ApplicationsApr 30, 200719 citations

Phase transitions in the Ising model

Valeriy A Ryabov

Institute of Physics eBooksAug 1, 20180 citations

Phase transitions in the antiferromagnetic ising model on a square lattice with next-nearest-neighbor interactions

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

The phase transitions in the two-dimensional Ising model on a square lattice are studied using a replica algorithm, the Monte Carlo method, and histogram analysis with allowance for the next-nearest-neighbor interactions in the range 0.1 ≤ r < 1.0. A phase diagram is constructed for the dependence of the critical temperature on the next-nearest-neighbor interaction. A second-order phase transition is detected in this range and the model under study.

Journal of Experimental and Theoretical PhysicsDec 1, 201328 citations

Phase transitions and thermodynamic properties of antiferromagnetic Ising model with next-nearest-neighbor interactions on the Kagomé lattice

Рамазанов Магомедшейх Курбанович, Akai Kurbanovich Murtazaev, М. А. Магомедов +1 more

We study phase transitions and thermodynamic properties in the two-dimensional antiferromagnetic Ising model with next-nearest-neighbor interaction on a Kagomé lattice by Monte Carlo simulations. A histogram data analysis shows that a second-order transition occurs in the model. From the analysis of obtained data, we can assume that next-nearest-neighbor ferromagnetic interactions in two-dimensional antiferromagnetic Ising model on a Kagomé lattice excite the occurrence of a second-order transition and unusual behavior of thermodynamic properties on the temperature dependence.We study phase transitions and thermodynamic properties in the two-dimensional antiferromagnetic Ising model with next-nearest-neighbor interaction on a Kagomé lattice by Monte Carlo simulations. A histogram data analysis shows that a second-order transition occurs in the model. From the analysis of obtained data, we can assume that next-nearest-neighbor ferromagnetic interactions in two-dimensional antiferromagnetic Ising model on a Kagomé lattice excite the occurrence of a second-order transition and unusual behavior of thermodynamic properties on the temperature dependence.

arXiv:1810.00695Phase TransitionsFeb 22, 201811 citations

PHASE TRANSITIONS IN THE ISING MODEL

H Ulman, M Athematics J Ournal

Jan 1, 20100 citations

Critical indices for the two-dimensional Ising model with nearest-neighbor and next-nearest-neighbor interactions

Kazuyuki Tanaka, Tsuyoshi Horiguchi, Tohru Morita

Physica A Statistical Mechanics and its ApplicationsFeb 1, 199313 citations

Geometric criteria for phase transitions: The Ising model with nearest and next-nearest neighbor interactions

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