Effective crystalline electric field potential in a - coupling scheme

Hotta, Takashi; Harima, Hisatomo

We propose a systematic method to include effectively a crystalline electric field (CEF) potential into an -electron model on the basis of a - coupling scheme by the expansion in terms of , where is a spin-orbit interaction. When we correctly take into account the corrections in the order of in addition to the CEF terms and Coulomb interactions which remain in the limit of =, the CEF energy levels of an coupling scheme can be quantitatively reproduced even in the - coupling scheme. As a potential application of our modified - coupling scheme, we briefly discuss the CEF energy levels of filled skutterudite compound with symmetry.