Antiferromagnetic correlations of heavy-fermion systems studied in the Zou-Anderson model with spin-orbit coupling

The q-dependent magnetic susceptibility χ(q) and effective moment ${\mu }_{\mathrm{eff}\mathrm{}\left(\mathrm{q}\right)\mathrm{}}$ of heavy-fermion quasiparticles are studied at T=0 in the Zou-Anderson spin-orbit-coupling model for the simple cubic lattice. Antiferromagnetic (q=Q) correlations are shown to be dominantly enhanced by interband effects for relatively large quasiparticle fillings. The obtained moments ${\mu }_{\mathrm{eff}{}^2\mathrm{}\left(0\right)\mathrm{}\mathrm{\sim }}$1.20${\mu }_B^2$ and ${\mu }_{\mathrm{eff}{}^2\mathrm{}\left(\mathrm{Q}\right)\mathrm{}\mathrm{\sim }}$0.7${\mu }_B^2$ are in good agreement with the Zou-Anderson value and the experimental value for ${\mathrm{CeAl}}_2$, respectively, but are in disagreement with the experimental values for ${\mathrm{CeCu}}_2$ ${\mathrm{Si}}_2$ and ${\mathrm{CeAl}}_3$.