The Pair Approximation method is applied to the antiferromagneticHeisenberg-Ising spin-1/2 bilayer with a simple cubic crystalline structure.The method allows for self-consistent calculations of thermodynamic quantities,based on the determination of Gibbs free-energy. In the paper the phasediagrams and planar magnetizations are calculated for the system in question.Special attention is paid to the case of magnetically non-equivalent planes,one of which is additionally randomly diluted. The occurrence of a compensationphenomenon is found and the compensation temperature is discussed for such asystem. The characteristic concentration of magnetic atoms $p^{\star}$, belowwhich the compensation phenomenon vanishes, is examined as a function of theHamiltonian parameters.
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机译：对近似法应用于具有简单立方晶体结构的反铁磁Heisenberg-Ising自旋1/2双层中，该方法可以基于Gibbs自由能的确定来进行热力学量的自洽计算。在本文中，针对所讨论的系统计算了相图和平面磁化强度。要特别注意磁性非等效平面的情况，其中之一是随机随机稀释的。发现了补偿现象的发生，并讨论了这种系统的补偿温度。根据汉密尔顿参数对磁原子的特征浓度$ p ^ {\ star} $进行补偿，在该浓度以下消失了补偿现象。
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