International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 15-20, 2019 Lattice dynamics
Computer modeling of phase transformations and critical properties of the frustrated Heisenberg model for a cubic lattice
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 $\le r\le$ 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 $\ge r\ge$ 0.4.
Keywords:frustrations, phase transitions, Monte Carlo method, Heisenberg model.
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