| n this dissertation, we study a realistic extension of the conventional simple approach to the Kondo effect for Cerium(Ce;In the conventional approach, the ;We analyze various exchange interactions using the scaling theory to study the stability of non-Fermi liquid fixed points. In this model study, we find only three types of stable fixed points. The well-studied one-channel strong coupling fixed point is stable. The two-channel fixed point of model (i) remains stable even in the presence of the channel symmetry breaking and channel mixing interactions. The unexpected three-channel fixed point of the combined model for (i) and (iii) is stable. Furthermore, we discovered a "zoo" of unstable fixed points where all kinds of exchange interactions are realized.;Using the non-crossing approximation, we study the simplified one-channel and two-channel Anderson model which shows different physics of the relevant channel Kondo effect in all the physical quantities. Using the numerical renormalization group technique, we also study a newly discovered exchange interaction model with the conduction electron spin... |
