Wavenumber Dependence of Multipolar Interactions in the Anderson Lattice

Details Wavenumber Dependence of Multipolar Interactions in the Anderson Lattice Wavenumber Dependence of Multipolar Interactions in the Anderson Lattice

2004-12-04

arxiv.org/abs/cond-mat/0412092v1

Physics

Condensed Matter

Strongly Correlated Electrons

8pages, 5figures

Scientific paper

10.1143/JPSJ.74.975

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 $f^1$ configuration, the four-fold degenerate $\Gamma_8$ is mainly studied. Intersite interactions up to a sufficiently distant pair are Fourier transformed to the wavenumber space. For the $\Gamma_8$ case, quadrupolar and octupolar interactions favor the staggered order with $\mib{q} = (1/2,1/2,1/2)$, 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 CeB$_6$, and the incommensurate magnetic structure in a quasi-cubic system CeB$_2$C$_2$.

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