Quadrupole partial orders and triple-q states on the face-centered cubic lattice

Nematic Ordering Driven by Atomic-scale Multipoles

“…The electronic nematic states have been discussed in various contexts, such as the Pomeranchuk instability [4][5][6], spin nematic state [7][8][9][10][11][12][13][14], and charge/orbital nematic state [15][16][17][18][19][20][21], which have been observed in d-electron materials like Ba 2 MgReO 6 [22][23][24] and f -electron materials, such as CeB 6 [25][26][27][28], PrPb 3 [29][30][31], PrT 2 X 20 (T = Ir, Rh, X = Zn; T = V, X = Al) [32][33][34][35][36], and CeCoSi [37][38][39][40][41][42][43]. Recently, further exotic states coexisting spin and nematic orders have been suggested, such as the CP 2 skyrmion [44][45][46][47] and other multiple-Q states [48][49][50]…”