The phase transitions and critical properties of the three-dimensional stacked triangular-lattice Ising antiferromagnet in a magnetic field are studied using the replica Monte Carlo method. The nature of the phase transitions is analyzed on the basis of the histogram method. It is established that a second-order transition occurs in the field range of 0 ≤ h ≤ 6. At a high field, the degeneracy of the ground state is lifted and the phase transition is smeared. Depending on the magnitude of the magnetic field, disordered, partially ordered, and completely ordered phases are observed.

中文翻译：

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Ising 模型在磁场中的临界性质

使用复制蒙特卡罗方法研究了三维堆叠三角晶格 Ising 反铁磁体在磁场中的相变和临界性质。基于直方图方法分析相变的性质。确定在 0 ≤ h ≤ 6 的场范围内发生二阶跃迁。在高场下，基态的简并性被解除，相变被涂抹。根据磁场的大小，可以观察到无序、部分有序和完全有序的相。