Multipolar Interactions in the Anderson Lattice with Orbital Degeneracy

Abstract

Microscopic investigation is performed for intersite multipolar interactions in the orbitally degenerate Anderson lattice, with CeB${}_6$ taken as an exemplary target. In addition to the $f^0$ intermediate state, $f^2$ Hund's-rule ground states are included as intermediate states for the interactions. The conduction-band states are taken as plane waves and the hybridization as spherically symmetric. The spatial dependences of multipolar interactions are given by the relative weight of partial wave components along the pair of sites. It is clarified how the the anisotropy arises in the interactions depending on the orbital degeneracy and the spatial configuration. The stability of the ${\Gamma }_5$ antiferro-quadrupole order in the phase II of CeB${}_6$ is consistent with our model. Moreover, the pseudo-dipole interactions follow a tendency required by the phenomenological model for the phase III.

arXiv comment30 pages, 4 figures

References in corpus (3)

• Anisotropic Spin Hamiltonians due to Spin-Orbit and Coulomb Exchange Interactions
• Non-Collinear Magnetism due to Orbital Degeneracy and Multipolar Interactions
• Interpocket polarization model for magnetic structures in rare-earth hexaborides

Cited by in corpus (4)

• Multipole ordering in f-electron systems on the basis of a j-j coupling scheme
• Derivation of RKKY Interaction between Multipole Moments in CeB${}_6$ by the Effective Wannier Model based on the Bandstructure Calculation
• Multipolar ordering from dynamical mean field theory with application to CeB6
• Wavenumber Dependence of Multipolar Interactions in the Anderson Lattice