论文标题
Spin-3/2中的磁各向异性，蜂窝状Mott绝缘子中的重配体：CRI $ _3 $
Magnetic Anisotropy in Spin-3/2 with Heavy Ligand in Honeycomb Mott Insulators: Application to CrI$_3$
论文作者
论文摘要
二维CRI $ _3 $中的铁磁剂引起了很多兴奋，最近有人提出，碘中的自旋轨道耦合（SOC）可能会产生键依赖键的旋转相互作用，从而导致磁动率。在这里，我们使用强耦合扰动理论得出了S = 3/2的微观旋转模型，该模型在过渡金属上被蜂窝状莫特绝缘子中的重配体包围。对于理想的Octahedra，我们发现了海森堡和基塔夫相互作用，它们通过量子波动有利于沿立方轴的磁矩。当八面体的微微三角变形与SOC一起出现时，出现了另外三个相互作用，由非对抗对称$γ$和$γ^\ prime $和单离子各向异性组成。所得的磁各向异性固定在垂直于蜂窝平面的矩中，如在CRI $ _3 $的单层中所观察到的那样，这表明SOC和三角形扭曲在理解二维Mott绝缘子的磁性方面的意义。还提供了与旋转轨道耦合$ j _ {\ rm eff} $ = 1/2的比较，也显示了S = 1型型号。
Ferromagnetism in the two-dimensional CrI$_3$ has generated a lot of excitement, and it was recently proposed that the spin-orbit coupling (SOC) in Iodine may generate bond-dependent spin interactions leading to magnetic anisotropy. Here we derive a microscopic spin model of S=3/2 on transition metals surrounded by heavy ligands in honeycomb Mott insulators using a strong-coupling perturbation theory. For ideal octahedra we find Heisenberg and Kitaev interactions, which favor the magnetic moment along the cubic axis via quantum fluctuations. When a slight trigonal distortion of the octahedra is present together with the SOC, three additional interactions arise, comprised of the off-diagonal symmetric $Γ$ and $Γ^\prime$, and single-ion anisotropy. The resulting magnetic anisotropy pins the moment perpendicular to the honeycomb plane as observed in a single-layer of CrI$_3$, suggesting the significance of SOC and trigonal distortion in understanding magnetism of two dimensional Mott insulators. Comparison to the spin-orbit coupled $J_{\rm eff}$= 1/2 and S=1 models is also presented.
