Multipolar interactions are derived in the orbitally degenerate Anderson lattice with a spherical Fermi surface and one conduction electron per unit cell of the simple cubic lattice. As the crystalline-electric-field (CEF) ground state of f1 configuration, the four-fold degenerate Γ8 is mainly studied. Intersite interactions up to a sufficiently distant pair are Fourier transformed to the wavenumber space. For the Γ8 case, quadrupolar and octupolar interactions favor the staggered order with q = (1/2, 1/2, 1/2), while the dipolar interaction favors an incommensurate magnetic structure with a long modulation period.The latter is due to a Kohn anomaly which is found to be sharply peaked for interaction channels with large angular momenta. Implications of results are discussed for multipole orders in CeB6, and the incommensurate magnetic structure in a quasi-cubic system CeB2C2.
ASJC Scopus subject areas
- Physics and Astronomy(all)