Influence of the short range order (SRO) on electrical resistivity of the magnetic rare earth metals in the paramagnetic region

Abstract The model of the magnetic rare earth metals which contains interacting itinerant electrons and localized spins was considered. The interaction between both kinds of electrons was assumed in the simple local exchange s–f form. The complicated many body problem was reduced to the one particle one with the help of coherent potential approximation (CPA). Itinerant electron self-energy was calculated using standard Green’s function technique with taking into account short range order (SRO) within the localized spin system. The magnetic part of the dc electrical conductivity σ in the paramagnetic region, expressed by Kubo–Greenwood formula, was calculated. The resistivity ρ = 1 / σ and its derivative over the temperature shows the structure near T C + 0 + . The quantities ρ , ∂ ρ / ∂ T were not constant versus temperatures as it is in the simple models often used. The influence of the important model parameters and single ion anisotropy on the resistivity was calculated and shortly discussed.