Abstract
The investigation of the phase transformations and critical properties of the Heisenberg antiferromagnetic model on a cubic lattice was performed by the Monte Carlo method with account for interaction of nearest and next-nearest neighbors. The next-nearest neighbors exchange couplings are considered ranged in 0.0 ≤ r ≤ 1.0. The phase diagram of dependence of the critical temperature on the next-nearest neighbors exchange coupling is plotted. It is shown that a phase transformation of the second kind is observed in the considered range of exchange values r. Using the theory of finite-dimensional scaling, the values of all main static critical indices are computed. It is demonstrated that the class of universality of the critical behavior of this model preserves in the range 0.0 ≥ r ≥ 0.4.
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The work is supported by the Russian Foundation for Basic Research (projects nos. 19-02-00153-a and 18-32-20098-mol-a-ved).
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Translated by E. Oborin
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Ramazanov, M.K., Murtazaev, A.K. Computer Modeling of Phase Transformations and Critical Properties of the Frustrated Heisenberg Model for a Cubic Lattice. Phys. Solid State 62, 976–981 (2020). https://doi.org/10.1134/S1063783420060244
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DOI: https://doi.org/10.1134/S1063783420060244