The effect of an external magnetic field on phase transitions, magnetic and thermodynamic properties of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions was studied using the replica algorithm of the Monte Carlo method. It is shown that a second-order phase transition is observed in the range of magnetic field values 7.0 ≤ H ≤ 10.0, and a first-order phase transition is observed in the range 11.0 ≤ H ≤ 13.0. A further increase in the magnetic field strength leads to the suppression of the phase transition.

中文翻译：

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在强磁场中具有竞争交换相互作用的体心立方晶格的 Ising 模型

使用蒙特卡罗方法的复制算法研究了外部磁场对具有竞争交换相互作用的体心立方晶格上的反铁磁 Ising 模型的相变、磁性和热力学性质的影响。结果表明，在磁场值 7.0 ≤  H  ≤ 10.0 范围内观察到二阶相变，在 11.0 ≤ H  ≤ 13.0范围内观察到一阶相变 。磁场强度的进一步增加导致相变的抑制。