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.

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

References in corpus (35)

• 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
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Spin Nematic Phase in S=1 Triangular Antiferromagnets
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
• Spiral spin-liquid and the emergence of a vortex-like state in MnSc${}_2$S${}_4$
• Observation of Modulated Quadrupolar Structures in PrPb3
• Hidden Order Behaviour in URu2Si2 (A Critical Review of the Status of Hidden Order in 2014)
• Magnetic hedgehog lattices in noncentrosymmetric metals
• Quadrupole-Driven Non-Fermi Liquid and Magnetic-Field Induced Heavy Fermion States in a Non-Kramers Doublet System
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Theory of the Ordered Phase in A-site Antiferromagnetic Spinels
• Antiferro Quadrupole Orders in Non-Kramers Doublet Systems
• Landau theory of multipolar orders in Pr(TM)${}_2$X${}_{20}$ Kondo materials
• Degenerate manifolds, helimagnets, and multi-$\mathbf{Q}$ chiral phases in the classical Heisenberg antiferromagnet on the face-centered-cubic lattice
• Where is the Quantum Spin Nematic?
• Two-stage multipolar ordering in Pr(TM)${}_2$Al${}_{20}$ Kondo materials
• 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
• Classical Monte Carlo study for antiferro quadrupole orders in a diamond lattice
• Field-Induced Switching of Ferro-Quadrupole Order Parameter in PrTi2Al20
• Channel-selective non-Fermi liquid behavior in the two-channel Kondo lattice model under a magnetic field
• Quadrupole Orders on the fcc Lattice
• Triple-$q$ quadrupole-octupole order scenario for PrV${}_2$Al${}_{20}$
• Competing Kondo Effects in Non-Kramers Doublet Systems
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Field-Orientation Effect on Ferro-Quadrupole Order in PrTi2Al20
• 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)
• 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${}_{20}$
• 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${}_{20}$