Scaling analysis of a model Hamiltonian for Ce3+ impurities in a cubic metal.
Scaling analysis of a model Hamiltonian for Ce3+ impurities in a cubic metal.
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立方金属中 Ce3 杂质的模型哈密顿量的标度分析。
DOI：
10.1103/physrevb.54.6494
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
D. Cox
中科院分区：
文献类型：
--
作者：
Tae;D. Cox
本文在立方对称Ce$^{3+}$离子三种组态（$f^0 $，$f^1 $，$f^2 $）的模型哈密顿量中引入了各种交换相互作用。当杂质赝自旋S_I=1/2$时，我们的哈密顿量包括：（i）单通道S_c=1/2$安德森模型，（ii）双通道S_c=1/2$安德森模型，（iii）一个未知的单通道S_c=3/2$安德森模型，（iv）一个非平凡不动点模型，（v）一个非平凡不动点模型。（iv）$\Gamma_{6，7}$和$\Gamma_8 $传导电子分波态之间的混合交换相互作用;（v）多传导电子分波态。利用三阶标度（微扰重整化群）分析方法，研究了立方对称Ce$^{3+}$离子在不同交换作用下的不动点稳定性.
We introduce various exchange interactions in a model Hamiltonian for Ce$^{3+}$ ions in cubic symmetry with three configurations ($f^0$,$f^1$,$f^2$). With the impurity pseudo spin $S_I=1/2$, our Hamiltonian includes: (i) One-channel $S_c=1/2$ Anderson model; (ii) Two-channel $S_c=1/2$ Anderson model; (iii) An unforseen one-channel $S_c=3/2$ Anderson model with a non-trivial fixed point; (iv) Mixing exchange interaction between the $\Gamma_{6,7}$ and the $\Gamma_8$ conduction electron partial wave states; (v) Multiple conduction electron partial wave states. Using the third-order scaling (perturbative renormalization group) analysis, we study stability of various fixed points relevant to various exchange interactions for Ce$^{3+}$ ions in cubic symmetry.