L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$

Abstract

We study quadrupole orders in heavy-fermion compound PrIr${}_2$Zn${}_{20}$ under magnetic fields on the basis of the Landau theory. Assuming $E_g$ electric quadrupolar orders in the cubic symmetry with the ordering wavenumber at the L points in the face-centered cubic lattice Brillouin zone as observed experimentally, we construct a Landau free energy and analyze the resulting free energy. We find that the unidentified high-temperature ordered phase under the magnetic field $\mathbf{H}\parallel [001]$ reported earlier arises from the rotation of the quadrupole moments of f electrons on the Pr site. We also discuss the phase diagram for other magnetic-field directions and possible double-$\mathbf{q}$ quadrupolar orders in this system.

The title has been changed; 15 pages, 9 figures, and 1 table

References in corpus (17)

• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
• Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy Fermion States in a Non-Kramers Doublet System
• Where is the Quantum Spin Nematic?
• Magnetoelectric Effects and Charge-Imbalanced Solenoids: Antiferro Quadrupole Orders in a Diamond Structure
• Anisotropy driven response of skyrmion lattice in MnSc${}_2$S${}_4$ to applied magnetic fields
• Quadrupole Orders on the fcc Lattice
• Triple-$q$ quadrupole-octupole order scenario for PrV${}_2$Al${}_{20}$
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Thermal and field-induced transitions in ferroquadrupolar Kondo systems
• First-principles Study of the RKKY Interaction and the Quadrupole Order in the Pr 1-2-20 systems PrT2Al20 (T=Ti, V)
• Anisotropy of the magnetic-field-induced phase pocket in the non-Kramers doublet system PrIr${}_2$Zn${}_{20}$
• Orbital moiré and quadrupolar triple-q physics in a triangular lattice
• Strange-metal behavior without fine-tuning in PrV2Al20
• Probing magnetic-field-induced multipolar ordering through field-angle-resolved magnetostriction and thermal expansion in PrIr${}_2$Zn${}_{20}$