This article is cited in 21 papers

CONDENSED MATTER

Phase diagram of the antiferromagnetic Heisenberg model on a cubic lattice

M. K. Ramazanov, A. K. Murtazaev

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

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 $0.0 \leqslant r\leqslant 1.0$. 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.

Received: 18.03.2019
Revised: 25.03.2019
Accepted: 25.03.2019

DOI: 10.1134/S0370274X1909008X

 English version: Journal of Experimental and Theoretical Physics Letters, 2019, 109:9, 589–593

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