论文标题
基于稀土的准晶体和近似晶体中的晶体电子场：量子临界Au-Au-Al-YB准晶体和近似值的分析
Crystalline Electronic Field in Rare-Earth Based Quasicrystal and Approximant: Analysis of Quantum Critical Au-Al-Yb Quasicrystal and Approximant
论文作者
论文摘要
根据点电荷模型，我们在基于稀有的稀土的准晶（QC）（QC）中制定了晶体电子场（CEF）Hamiltonian $ h _ {\ rm CEF} $，并在PSEUDO 5倍构型上使用pseudo 5倍构型使用操作员等效方法。通过设置总角动量$ j = 7/2 $，量子关键的Qc au $ _ {51} $ al $ _ {34} $ yb $ _ {15} $和1/1 AC AU $ _ {51} $ al $ _ {51} $ al $ _ {35} $ yb yb $ al/yb yb yb $ _站点。我们发现，配体离子的价值$ x = z _ {\ rm al}/z _ {\ rm au} $在表征CEF基态状态方面起着重要作用。由于$ x $从$ x = 3 $降低，CEF接地状态的4F波函数在镜平面上的平坦形状在$ x \ 0.8 $左右变形至垂直于pseudo 5倍$ x = 0 $的平坦形状。 $ j $配方的$ h _ {\ rm cef} $通常适用于基于稀土的QC和ACS，这对于分析CEF非常有用。
On the basis of the point charge model, we formulate the crystalline electronic field (CEF) Hamiltonian $H_{\rm CEF}$ in the 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 Au$_{51}$Al$_{34}$Yb$_{15}$ and the 1/1 AC Au$_{51}$Al$_{35}$Yb$_{14}$ is analyzed with consideration for the effect of Al/Au mixed sites. We find that the ratio of the valences of ligand ions $x=Z_{\rm Al}/Z_{\rm Au}$ 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 $x\approx 0.8$ to the flat shape perpendicular to the pseudo 5-fold axis at $x=0$. The formulated $H_{\rm CEF}$ by $J$ is generally applicable to rare-earth-based QCs and ACs, which is useful to analyze the CEF.
