Multipole interactions of non-Kramers doublet systems on cubic lattices

Kubo, Katsunori ; Hotta, Takashi*

In this study, we investigate the multipole interactions between ions with the crystalline electric field ground state. We construct the doublet state of the electrons with the total angular momentum . To derive the multipole interactions, we apply the second-order perturbation theory with respect to the intersite hopping. We obtain a quadrupole interaction for a simple cubic lattice, an octupole interaction for a bcc lattice, and both quadrupole and octupole interactions for an fcc lattice. To discuss general tendencies of the multipole interactions, we compare the present results with those for the quartet systems of ions.