Quadrupole Orders on the fcc Lattice

Abstract

We theoretically study electric quadrupole orders in f-electron systems on the fcc lattice. Qudrupole degrees of freedom $O_{20}$ and $O_{22}$ originate in the non-Kramers doublet ground state ${\Gamma }_3$ of ion with $f^2$ electron configuration. For discussing quadrupole orders, we use a minimal model with isotropic ($J$) and anisotropic ($K$) nearest-neighbor interactions, and determine the phase diagram using a four-site mean-field approximation at zero and finite temperatures. Quadrupoles couple the ${\Gamma }_3$ doublet to the singlet excited state ${\Gamma }_1$, and its effects on canting antiferro orders are examined in detail. We found that this coupling leads to a rich phase diagram including two- and four-sublattice antiferro phases, and that two phases show a partial order of quadrupoles at finite temperatures.

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Cited by in corpus (12)

• Vibronic order and emergent magnetism in cubic $d^1$ double perovskites
• Triple-$q$ quadrupole-octupole order scenario for PrV${}_2$Al${}_{20}$
• Triple-$\mathcal{Q}$ partial magnetic orders induced by quadrupolar interactions: Triforce order scenario for UNi${}_4$B
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Multiple-$q$ dipole-quadrupole instability in spin-1 triangular-lattice systems
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Electronic origin of ferroic quadrupole moment under antiferroic quadrupole orders and finite magnetic moment in $J_{\mathrm{eff}}=3/2$ systems
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• Anisotropy of the magnetic-field-induced phase pocket in the non-Kramers doublet system PrIr${}_2$Zn${}_{20}$
• Primary and Secondary Order Parameters in the Fully Frustrated Transverse Field Ising Model on the Square Lattice
• L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$
• Symmetry Rules on Multipole Interactions under Crystallographic Point Groups and Application to Multiple-$Q$ Multipole States