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Critical Properties in the Ising Model on a Triangular Lattice with the Variable Interlayer Exchange Interaction

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Abstract

Phase transitions and critical and thermodynamic properties of the three-dimensional antiferromagnetic Ising model on a layered triangular lattice with variable interlayer exchange interaction are studied by the replica algorithm of the Monte Carlo method. The studies are carried out for the ratios of the intralayer J1 and interlayer J2 exchange interactions in the range of r = J2/J1 = 0.01–1.0. It is established that a second-order phase transition is observed in the considered r interval. Using the finite size scaling theory, the static critical exponents of the heat capacity α, susceptibility γ, order parameter β, correlation radius ν, and Fisher index η are calculated. It is shown that the universality class of the critical behavior of this model is preserved in the interval of 0.05 < r ≤ 1.0. It was found that with a further decrease in the r value, a crossover from the three-dimensional critical behavior to the quasi-two-dimensional one is observed.

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Funding

This work was supported by the Russian Foundation for Basic Research (project nos. 19-02-00153-a, 18-32-20098-mol-a-ved and 18-32-00391-mol-a).

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Authors and Affiliations

  1. Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, Makhachkala, Russia

    A. K. Murtazaev, M. K. Ramazanov & M. K. Badiev

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  1. A. K. Murtazaev
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  2. M. K. Ramazanov
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  3. M. K. Badiev
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Correspondence to M. K. Badiev.

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Translated by L. Mosina

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Murtazaev, A.K., Ramazanov, M.K. & Badiev, M.K. Critical Properties in the Ising Model on a Triangular Lattice with the Variable Interlayer Exchange Interaction. Phys. Solid State 61, 1854–1859 (2019). https://doi.org/10.1134/S1063783419100263

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