The hysteresis loops and compensation behaviors of a ferrimagnetic mixed system, consisting of two sublattices (A and B) with different spins (SA = 1 and SB = ½) and described by Heisenberg Hamiltonian on a cubic lattice, are investigated by using the pair approximation method. We have discussed the dependence of the compensation temperature on the D- crystal field interaction and J-exchange anisotropy. The influence of the longitudinal magnetic field and the magnetic hysteresis loops are also carried out. It is found that the model of mixed spin exhibits the possibility of two compensation points for several given sets of parameters. The model yields also second-order and first-order phase transitions, in addition to tricritical points. The reentrant phenomena can occur in some narrow ranges of D /|Jz| and Jxy /|Jz |. We have also observed the existence of triple hysteresis loop behaviors under the effects of special intrinsic parameters.

中文翻译：

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海森堡亚铁磁混合自旋 (½, 1) 系统中的补偿和滞后行为

使用对近似来研究由具有不同自旋（SA = 1 和 SB = 1/2）的两个亚晶格（A 和 B）组成并由海森堡哈密顿量在立方晶格上描述的亚铁磁混合系统的磁滞回线和补偿行为方法。我们已经讨论了补偿温度对 D-晶体场相互作用和 J-交换各向异性的依赖性。还进行了纵向磁场和磁滞回线的影响。发现混合自旋模型对于几个给定的参数集表现出两个补偿点的可能性。除了三临界点之外，该模型还产生二阶和一阶相变。重入现象可能发生在 D /|Jz| 的一些狭窄范围内。和Jxy /|Jz |。