Microscopic Theory of ${\Gamma }_3$ Quadrupole Ordering in Pr Compounds on the Basis of a $j$-$j$ Coupling Scheme

Ryosuke Yamamura, Takashi Hotta

Toward the understanding of incommensurate ${\Gamma }_3$ quadrupole ordering in PrPb${}_3$, we develop a microscopic theory of multipole ordering in $f^2$-electron systems from an itinerant…