Generalized Susceptibilities and Magnetic Ordering of Heavy Rare Earths

Abstract

The generalized magnetic susceptibilities, $\chi \left(\overrightarrow{\mathrm{q}}\right)$, have been calculated along the line $\Gamma$ to $A$ for the heavy rare-earth metals, Gd, Dy, Er, and Lu, using energy bands previously calculated by Keeton and Loucks. The initial ordering periodicity for each of these metals can be related to Fermi-surface geometry by examining the maxima in our susceptibilities. Agreement with experimental magnetic wave vectors is satisfactory.