Orbital kondo effect in (formula presented) scaling analysis

Peculiarity of the Kondo effect in (Formula presented) is investigated on the basis of the scaling equations up to third order. For the case where the (Formula presented) charge fluctuation enters in addition to the (Formula presented) one, the effective exchange interaction becomes anisotropic with respect to the orbital pseudospins that represent the two different orbitals in the (Formula presented) ground state. Because of different characteristic energies for electric and magnetic tensors, scaling with the single Kondo temperature does not apply to physical quantities such as the resistivity and magnetic susceptibility. Possibility of a bizzare phase is pointed out where the RKKY interaction leads to the spin ordering without orbital ordering. This phase serves as a candidate of the phase IV that is observed to be isotropic magnetically.