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Crystalline Electronic Field in Rare-Earth Based Quasicrystal and Approximant: Analysis of Quantum Critical Au–Al–Yb Quasicrystal and Approximant
Journal of the Physical Society of Japan ( IF 1.5 ) Pub Date : 2021-04-27 , DOI: 10.7566/jpsj.90.063701
Shinji Watanabe 1 , Mina Kawamoto 1
Affiliation  

On the basis of the point charge model, we formulate the crystalline electronic field (CEF) Hamiltonian HCEF in rare-earth based quasicrystal (QC) and approximant crystal (AC) with ligand ions located at pseudo 5-fold configurations by using the operator equivalent method. By setting the total angular momentum J = 7/2, the CEF in the quantum critical QC Au51Al34Yb15 and the 1/1 AC Au51Al35Yb14 is analyzed with consideration for the effect of Al/Au mixed sites. We find that the ratio of the valences of ligand ions x = ZAl/ZAu plays an important role in characterizing the CEF ground state. As x decreases from x = 3, the 4f wave function of the CEF ground state with the flat shape lying in the mirror plane is deformed around x ≈ 0.8 to the flat shape perpendicular to the pseudo 5-fold axis at x = 0. The formulated HCEF by J is generally applicable to rare-earth-based QCs and ACs, which is useful to analyze the CEF.

中文翻译:

稀土基准晶体及其附近的晶体电场:量子临界Au-Al-Yb准晶体及其附近的分析

在点电荷模型的基础上,我们通过使用算符,在配体离子位于伪5倍构型的稀土基准晶体(QC)和近似晶体(AC)中制定了晶体电场(CEF)的哈密顿H CEF等效方法。通过设置总角动量J = 7/2,考虑了Al / Au混合位点的影响,对量子临界QC Au 51 Al 34 Yb 15和1/1 AC Au 51 Al 35 Yb 14中的CEF进行了分析。 。我们发现配体离子的化合价比x = Z Al / Z Au在表征CEF基态方面起着重要作用。作为X减小从X = 3,用扁平形状趴在镜平面上的CEF基态的4F波函数变形围绕X在≈0.8到平坦形状垂直于伪5倍轴X = 0。配制ħ CEF通过Ĵ一般适用于基于稀土的QC和AC,来分析CEF这是有用的。
更新日期:2021-04-28
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