We introduce various exchange interactions in a model Hamiltonian for
Ce3+ ions in cubic symmetry with three configurations (f0,f1,f2).
With the impurity pseudo spin SI=1/2, our Hamiltonian includes: (i)
One-channel Sc=1/2 Anderson model; (ii) Two-channel Sc=1/2 Anderson
model; (iii) An unforseen one-channel Sc=3/2 Anderson model with a
non-trivial fixed point; (iv) Mixing exchange interaction between the
Γ6,7 and the Γ8 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 Ce3+ ions in
cubic symmetry.Comment: 68 pages. 4 figures are available upon request from
[email protected] (revised