论文标题
两通道围绕和费米 - 液体相之间的量子临界点
Quantum Critical Point between Two-Channel Kondo and Fermi-Liquid Phases
论文作者
论文摘要
我们通过评估与三个（$γ_7$和$γ_7$ and $γ_8$）的七轨杂质模型的$ f $ - 电子熵来调查量子临界点附近的量子临界点的出现，并通过数字恢复型组的使用，我们考虑了pr $ $^$^$^3+^3+^3+^3+^3+^3+^^3+^^3+^^3+^^3+^3+^^3+^^3+^^3+^^3+^^3+^^3+^^^3+^^3+众所周知，近距效应是针对本地$γ_3$ Doublet状态发生的。当我们控制结晶电场（CEF）电位以使本地CEF基态从$γ_3$ DOUBLET更改为$γ_1$ singlet或$γ_5$ treelet时，我们通常会观察到$ \ log ϕ $的残留熵，而黄金比率$ $ ϕ =（1+\ sqrt \ sqrt clience at tht 3-- $ nef and persive tht 3-- $ nef and and as ant ant tht y tht 3--对于ND $^{3+} $ ion的情况，还观察到了这种特殊的残留熵，其中发现磁性两通道近相相对于局部$γ_6$ DoubleT状态发生。我们设想了一个场景，即通常在两通道近代和费米 - 液体阶段之间出现以$ \ log ϕ为特征的量子临界点。
We investigate the emergence of quantum critical points near a two-channel Kondo phase by evaluating an $f$-electron entropy of a seven-orbital impurity Anderson model hybridized with three ($Γ_7$ and $Γ_8$) conduction bands with the use of a numerical renormalization group method First we consider the case of Pr$^{3+}$ ion, in which quadrupole two-channel Kondo effect is known to occur for the local $Γ_3$ doublet state. When we control crystalline electric field (CEF) potentials so as to change the local CEF ground state from $Γ_3$ doublet to $Γ_1$ singlet or $Γ_5$ triplet, we commonly observe a residual entropy of $\log ϕ$ with the golden ratio $ϕ=(1+\sqrt{5})/2$, which is equal to that for three-channel Kondo effect. This peculiar residual entropy is also observed for the case of Nd$^{3+}$ ion, in which magnetic two-channel Kondo phase is found to occur for the local $Γ_6$ doublet state. We envisage a scenario that the quantum critical point characterized by $\log ϕ$ generally appears between two-channel Kondo and Fermi-liquid phases.
