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arXiv 2109.14952cond-mat.str-elcond-mat.mtrl-sci
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Ho离子产生的三通道近藤效应

Three-Channel Kondo Effect Emerging from Ho Ions

Takashi Hotta

摘要:

利用数值重整化群方法,研究了七轨道杂质Anderson模型中$Γ_7$和$Γ_8$导电子带杂化的三沟道近藤效应.特别是,我们专注于10个本地$f$电子对应的Ho $^{3+}$离子的情况下。通过研究$f$ -电子熵对晶体电场势和杂化的低温行为的依赖性,我们发现了具有黄金分割率$ϕ=(1+\sqrt{5})/2$的$\log ϕ$的剩余熵,这是三通道近藤效应的特征,对于局部$Γ_5$三重态基态的宽参数范围。为了提高我们对局域杂质自旋的理解,我们探索了三通道近藤和费米液相之间的量子临界点。最后,我们简要讨论了立方Ho化合物作为实验观察三通道近藤效应的候选者。

英文摘要:

We illustrate the emergence of the three-channel Kondo effect in a seven-orbital impurity Anderson model hybridized with $Γ_7$ and $Γ_8$ conduction electron bands employing a numerical renormalization group method. In particular, we focus on the case with ten local $f$ electrons corresponding to a Ho$^{3+}$ ion. By investigating the dependence of the low-temperature behavior of the $f$-electron entropy on the crystalline electric field potential and hybridization, we found a residual entropy of $\log ϕ$ with the golden ratio $ϕ=(1+\sqrt{5})/2$, characteristic of the three-channel Kondo effect, for the wide range of parameters of the local $Γ_5$ triplet ground state. To improve our insight of local impurity spin, we explored a quantum critical point between three-channel Kondo and Fermi-liquid phases. Finally, we briefly discussed the cubic Ho compound as a candidate to observe experimentally the three-channel Kondo effect.

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。

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