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Random Crystal Field Effect on the Critical Properties of the Mixed Spin-(52,12) Anisotropic Heisenberg Model in the Oguchi Approximation
SPIN ( IF 1.8 ) Pub Date : 2022-03-12 , DOI: 10.1142/s2010324722500011
G. Seto 1 , R. A. A. Yessoufou 1, 2 , A. Kpadonou 3 , E. Albayrak 4
Affiliation  

We have employed the Oguchi approximation (OA) to investigate the effects of a random crystal field which is active (inactive) with probability p (1p) for given lattice sites on the thermodynamic properties of the mixed spin-(52,12) anisotropic Heisenberg model in the presence of an external magnetic field. By exploiting the thermal variations of the order parameters, interesting phase diagrams are produced on various planes. The phase diagrams show first- and second-order transition lines and also tricritical points. In addition to the reentrant behavior which is localized in a certain range of p at very low temperature, the magnetic exponent β calculated near the critical point exhibits interesting behaviors depending on the crystal field interaction. The hysteresis behavior of the model is also investigated and it reveals that the width of hysteresis loop decreases or increases, respectively, for negative or positive crystal field region as the probability p increases.

中文翻译:

Oguchi 近似中混合自旋-(52,12) 各向异性海森堡模型临界性质的随机晶体场效应

我们采用 Oguchi 近似 (OA) 来研究随机晶体场的影响,该随机晶体场以概率激活(非激活)p (1-p)对于给定的晶格位置,混合自旋的热力学性质(52,12)存在外部磁场时的各向异性海森堡模型。通过利用有序参数的热变化,可以在不同的平面上生成有趣的相图。相图显示一阶和二阶过渡线以及三临界点。除了定位在一定范围内的可重入行为p在非常低的温度下,磁指数β在临界点附近计算出取决于晶体场相互作用的有趣行为。还研究了模型的滞后行为,它表明,对于负晶体场区域或正晶体场区域,滞后回线的宽度分别减小或增加,作为概率p增加。
更新日期:2022-03-12
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