晶体材料中自旋-轨道纠缠4f电子的可视化
Visualization of spin-orbit entangled 4f electrons in crystalline materials
AI总结：
本文提出结合高能X射线衍射与CDFS价电子密度分析的方法，首次实现烧绿石氧化物中4f电子各向异性分布的可视化，揭示基态波函数参数，为研究晶体中4f态开辟新途径。
摘要：
镧系元素的4f电子受到自旋-轨道耦合的强烈影响，形成明确的J多重态，这些多重态在凝聚态物质中又受到晶体电场的作用而进一步分裂。虽然4f电子的各向异性与材料性质密切相关，但在实空间中直接实验观测4f电子分布仍然是一个重大挑战。在此，我们提出一种方法，通过结合高光子能量X射线衍射和基于核心差分傅里叶合成（CDFS）方法的价电子密度（VED）分析，可视化烧绿石氧化物中镧系4f电子的各向异性分布。观测到的镧系元素位点周围的VED分布揭示了基态波函数的参数，这些参数与在LS耦合方案下三角晶体电场的点电荷计算结果大致吻合。这种基于CDFS的VED观测方法不仅为4f电子的各向异性性质提供了见解，而且为研究广泛晶体材料中的4f态开辟了途径。
英文摘要：
Lanthanide 4f electrons are strongly influenced by spin-orbit coupling, resulting in well-defined J multiplets, which are further split by the crystalline electric field in condensed matter. While the anisotropy of 4f electrons is closely linked to material properties, direct experimental observation of the 4f electron distribution in real space remains a significant challenge. Here, we present an approach for visualizing the anisotropic distribution of lanthanide 4f electrons in pyrochlore oxides by combining high-photon-energy X-ray diffraction and valence electron density (VED) analysis based on the core differential Fourier synthesis (CDFS) method. The observed VED distributions around the lanthanide site reveal the parameters of the ground-state wavefunction, which roughly agree with point-charge calculations for the trigonal crystal electric field under the LS coupling scheme. This CDFS-based VED observation method not only provides insights into the anisotropic nature of 4f electrons but also opens a pathway for studying the 4f states in a wide range of crystalline materials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
