Abstract
Phase transitions in the antiferromagnetic Heisenberg model on a cubic lattice with intralayer next-nearest neighbor interactions are studied using the replica Monte Carlo algorithm. The magnitude of next-nearest neighbor interactions varies in the range of 0.0 ≤ r ≤ 1.0. The characteristics of the phase transitions are analyzed by the histogram and Binder cumulant techniques. The phase diagram relating the transition temperature and the magnitude of next-nearest neighbor interactions is constructed. It is shown that a second order phase transition occurs in the r range under study. In this model, it is found that the intralayer next-nearest neighbor interactions do not change the order of the phase transition.
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Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 109, No. 9, pp. 610–614.
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Ramazanov, M.K., Murtazaev, A.K. Phase Diagram of the Antiferromagnetic Heisenberg Model on a Cubic Lattice. Jetp Lett. 109, 589–593 (2019). https://doi.org/10.1134/S0021364019090121
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DOI: https://doi.org/10.1134/S0021364019090121