We study the rare-earth magnets on a honeycomb lattice, and are particularly interested in the experimental consequences of the highly anisotropic spin interaction due to the spin-orbit entanglement. We perform a high-temperature series expansion using a generic nearest-neighbor Hamiltonian with anisotropic interactions, and obtain the heat capacity, the parallel and perpendicular spin susceptibilities, and the magnetic torque coefficients. We further examine the electron spin resonance linewidth as an important signature of the anisotropic spin interactions. Due to the small interaction energy scale of the rare-earth moments, it is experimentally feasible to realize the strong-field regime. Therefore, we perform the spin-wave analysis and study the possibility of topological magnons when a strong field is applied to the system. The application and relevance to the rare-earth Kitaev materials are discussed.

中文翻译：

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具有各向异性交换相互作用的蜂窝稀土磁体

我们研究了蜂窝状晶格上的稀土磁体，并且对自旋轨道纠缠引起的高度各向异性自旋相互作用的实验结果特别感兴趣。我们使用具有各向异性相互作用的通用最近邻哈密顿量进行高温系列膨胀，并获得热容量，平行和垂直自旋磁化率以及磁转矩系数。我们进一步检查电子自旋共振线宽是各向异性自旋相互作用的重要标志。由于稀土动量的相互作用能级较小，因此实现强场态在实验上是可行的。因此，我们进行自旋波分析，并研究将强磁场应用于系统时拓扑磁振子的可能性。