论文标题
磁场引起的旋转轨道重新定向转变
Spin orbital reorientation transitions induced by magnetic field
论文作者
论文摘要
在这里，我们报告了一种类似于$ b_ {sort1} $和$ b_ {sort2} $的磁场上的自旋重新定位过渡（SRT）类似的新效果。在使用晶体场模型方法计算出的Wurtzite Gan（处于顺磁状态）中，在Wurtzite Gan（处于顺磁状态）的小Mn $^{3+}的磁化曲线中观察到了效果。获得的结果表明，计算的磁各向异性（MA）在$ b_ {stort} $上增加$ b $的标志。详细的分析表明，对于高磁场，MA没有变化。我们表明，观察到的效果来自结晶环境的相互作用和自旋轨道耦合$λ\ hat {\ textbf {s}}} \ hat {\ textbf {l}} $，因此，我们将其称为旋转的旋转性重新定向过渡（sort）。 $ b_ {sort1} $的值取决于给定群集中的离子$ n $的$ n $的数量，而$ b_ {sort2} $主要由自旋轨道耦合$λ$控制。排序的说明是根据旋转$ M_S $和Orbital动量$ M_L $贡献总磁化$ m = m_s + m_l $的。类似的效果也应存在于其他未完全淬火（非零）轨道角动量$ l $，单轴磁各向异性和$λ$的正值的材料中。
Here we report on a new effect similar to the spin reorientation transition (SRT) that takes place at two magnetic fields of $B_{SORT1}$ and $B_{SORT2}$. The effect is observed in the magnetization curves of small Mn$^{3+}$ magnetic clusters in the wurtzite GaN (being in a paramagnetic state) calculated using crystal field model approach. The obtained results suggest that the computed magnetic anisotropy (MA) reverses its sign on increasing $B$ across $B_{SORT}$. Detailed analysis show however that MA is unchanged for high magnetic fields. We show that the observed effect arises from the interplay of the crystalline environment and the spin-orbit coupling $λ\hat{\textbf{S}} \hat{\textbf{L}}$, therefore we name it spin orbital reorientation transition (SORT). The value of $B_{SORT1}$ depends on the crystal field model parameters and the number of ions $N$ in a given cluster, whereas $B_{SORT2}$ is controlled mostly by the magnitude of the spin-orbit coupling $λ$. The explanation of SORT is given in terms of the spin $M_S$ and orbital momentum $M_L$ contributions to the total magnetization $M = M_S + M_L$. The similar effect should also be present in other materials with not completely quenched (non zero) orbital angular momentum $L$, a uniaxial magnetic anisotropy and the positive value of $λ$.
