Abstract
In order to understand magnetic behavior observed in CmO${}_{2}$ with a nonmagnetic ground state, we numerically evaluate magnetic susceptibility on the basis of a seven-orbital Anderson model with spin-orbit coupling. Naively we do not expect magnetic behavior in CmO${}_{2}$, since Cm is considered to be a tetravalent ion with six $5f$ electrons and the ground state is characterized by $J=0$, where $J$ is total angular momentum. However, there exists a magnetic excited state and the excitation energy is smaller than the value of the Land\'e interval rule due to the effect of crystalline electric-field potential. Then, we open a way to explain magnetic behavior in CmO${}_{2}$.
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