从保利自旋矩阵看平均场近似的 XYZ 模型

IF 0.3 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Lithuanian Journal of Physics Pub Date : 2024-02-23 DOI:10.3952/physics.2024.64.1.1

E. Albayrak

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引用次数: 0

摘要

通过使用保利自旋矩阵及其指数，对自旋-1/2 XYZ 模型的均场近似（MFA）进行了研究，从而得到了非线性形式的双曲正切函数。在铁磁（FM）情况下得到了磁化分量 Mx、My 和 Mz，然后通过引入亚晶格对反铁磁（AFM）情况进行了修改。在各种配位数 q = 3、4 和 6 的情况下，考虑了双线性交换相互作用参数 Jx、Jy 和 Jz 以及外部磁场 Hx、Hy 和 Hz。研究获得了磁化率的热变化和相图，以说明 AFM 情况下相变线的行为。

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The XYZ model in the mean-field approximation in terms of Pauli spin matrices

The mean-field approximation (MFA) of spin-1/2 XYZ model was studied by using the Pauli spin matrices and their exponentials which led to very nice hyperbolic tangent functions in nonlinear form. The magnetization components Mx, My and Mz were obtained for the ferromagnetic (FM) case and then it was modified for the antiferromagnetic (AFM) case by introducing the sublattices. The bilinear exchange interaction parameters Jx, Jy and Jz, and the external magnetic fields Hx, Hy and Hz were considered along the three-dimensions for various coordination numbers q = 3, 4 and 6. The thermal variations of the magnetizations and thus the phase diagrams were obtained to illustrate the behaviours of phase transition lines in the AFM case.

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来源期刊

Lithuanian Journal of Physics 物理-物理：综合

CiteScore

0.90

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The main aim of the Lithuanian Journal of Physics is to reflect the most recent advances in various fields of theoretical, experimental, and applied physics, including: mathematical and computational physics; subatomic physics; atoms and molecules; chemical physics; electrodynamics and wave processes; nonlinear and coherent optics; spectroscopy.