We study the multipole interactions between $f^2$ ions with the $\Gamma_3$ non-Kramers doublet ground state under a cubic crystalline electric field. We construct the $\Gamma_3$ doublet state of the electrons with the total angular momentum $j=5/2$. By applying the second-order perturbation theory with respect to the intersite hopping, we derive the multipole interactions. We obtain a quadrupole interaction for a simple cubic lattice, an octupole interaction for a bcc lattice, and both… Expand

We investigate the multipole interactions between adjacent f 2 ions with the Γ3 crystalline electric field (CEF) ground state. In this study, we consider only the Γ8 states as the one-electron… Expand

We discuss Kondo phenomena in a seven-orbital impurity Anderson model hybridized with Γ8 conduction electrons by employing a numerical renormalization group method. In particular, we focus on the… Expand

Motivated by experimental and theoretical interest in realizing multipolar orders in $d$-orbital materials, we discuss the quantum magnetism of $J=2$ ions on the face-centered cubic lattice which can… Expand

Superconductivity in a three-orbital model for the Γ3 crystalline electric field (CEF) ground state is investigated by applying the random phase approximation. In this model, we assume an… Expand

We discuss superconductivity in a model on a cubic lattice for a ${\mathrm{\ensuremath{\Gamma}}}_{3}$ non-Kramers system. In previous studies, it is revealed that $d$-wave superconductivity with… Expand