Influence of lattice structure on multipole interactions in ${\Gamma }_3$ non-Kramers doublet systems

Abstract

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 quadrupole and octupole interactions for an fcc lattice. We also discuss general tendencies of the multipole interactions depending on the lattice structure by comparing the results with those for the ${\Gamma }_8$ quartet systems of $f^1$ ions.

7 pages, 2 figures, to be published in Phys. Rev. B

References in corpus (2)

• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Detection of Neutron Scattering from Phase IV of Ce0.7La0.3B6: A Confirmation of the Octupole Order

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