论文标题

确定Kitaev互动中的旋转-S $ Honeycomb Mott绝缘子

Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators

论文作者

Cen, Jiefu, Kee, Hae-Young

论文摘要

与高旋转$ S $的蜂窝晶格中的Kitaev相互作用一直是中心景点之一,因为它可能会提供量子旋转液体。一个微观理论表明,当hund在过渡金属上的耦合产生$ s> \ frac {1} {2} $时,在重配体处的自旋轨道耦合提供了通往Kitaev相互作用的途径。但是,与其他对称性允许的相互作用相比,关于其强度的争论。在研究一般$ s $的哈密顿量对称性时,我们显示了两个动量点在两个动量点上与破碎的镜子对称性相关的磁能,这反映了磁场在镜面中时的相互作用。将对称分析应用于CRI $ _3 $,其中$ s = \ frac {3} {2} $以及可用的角度依赖的铁磁共振数据,我们估计了全汉密尔顿人的Kitaev交互作用,并发现它是不优势的。我们的理论可以通过在拟议的磁场方向下在候选材料上进行非弹性中子散射来测试,这将推动搜索一般的$ s $ kitaev材料。

The Kitaev interaction in a honeycomb lattice with higher-spin $S$ has been one of the central attractions, as it may offer quantum spin liquids. A microscopic theory showed that when the Hund's coupling at the transition metal generates $S> \frac{1}{2}$, the spin-orbit coupling at the heavy ligands provides a route to the Kitaev interaction. However, there have been debates over its strength compared to other symmetry-allowed interactions. Investigating the symmetry of the Hamiltonian for general $S$, we show the magnon energies at two momentum points related by a broken mirror symmetry reflect the Kitaev interaction when a magnetic field is in the mirror plane. Applying the symmetry analysis to CrI$_3$ with $S=\frac{3}{2}$ together with the available angle-dependent ferromagnetic resonance data, we estimate the Kitaev interaction out of the full Hamiltonian and find that it is sub-dominant. Our theory can be tested by inelastic neutron scattering on candidate materials under the proposed magnetic field direction, which will advance the search for general $S$ Kitaev materials.

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