Triple-$q$ quadrupole-octupole order scenario for PrV${}_2$Al${}_{20}$

Abstract

We propose novel triple-$\mathbf{q}$ multipole orders as possible candidates for the two distinct low-temperature symmetry broken phases in quadrupolar system PrV${}_2$Al${}_{20}$. An analysis of the experiment under [111] magnetic fields indicates that the {\it ferro} octupole moments in the lower temperature phase arise from the {\it antiferro} octupole interactions. We demonstrate that the triple-$\mathbf{q}$ multipole orders can solve this seemingly inconsistent issue. Anisotropies of quadrupole moments stabilize a triple-$\mathbf{q}$ order, which further leads to the second transition to a coexisting phase with triple-$\mathbf{q}$ octupole moments. The cubic invariant of quadrupole moments formed by the triple-$\mathbf{q}$ components and the characteristic couplings with the octupole moments in their free energy play important roles. We analyze a multipolar exchange model by mean-field approximation and discuss the temperature and magnetic field phase diagrams. Many of the microscopic results, such as the number of phases and the magnitudes of critical fields in the phase diagrams, are qualitatively consistent with the experiments in PrV${}_2$Al${}_{20}$.

arXiv comment6 pages, 3 figures

References in corpus (32)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Spin current and magneto-electric effect in non-collinear magnets
• Mayavi: a package for 3D visualization of scientific data
• Classification of atomic-scale multipoles under crystallographic point groups and application to linear response tensors
• Kondo Effects and Multipolar Order in the cubic PrTr2Al20 (Tr=Ti, V)
• Heavy Fermion Superconductivity in the Quadrupole Ordered State of PrV2Al20
• Superconductivity in the Ferroquadrupolar State in the Quadrupolar Kondo Lattice PrTi${}_2$Al${}_{20}$
• Group-theoretical classification of multipole order: emergent responses and candidate materials
• Observation of Modulated Quadrupolar Structures in PrPb3
• Ferro-quadrupolar ordering in PrTi${}_2$Al${}_{20}$
• Multipolar phases and magnetically hidden order: Review of the heavy-fermion compound Ce(1-x)La(x)B6
• Unveiling Hidden Orders: Magnetostriction as a Probe of Multipolar-Ordered States
• Non-Fermi Liquid and Fermi Liquid in Two-Channel Anderson Lattice Model: Theory for Pr$A_2$Al${}_{20}$ ($A$=V, Ti) and PrIr${}_2$Zn${}_{20}$
• Classification of multipole superconductivity in multi-orbital systems and its implications
• Antiferro Quadrupole Orders in Non-Kramers Doublet Systems
• Landau theory of multipolar orders in Pr(TM)${}_2$X${}_{20}$ Kondo materials
• Mott metal-insulator transition on compressible lattices
• Meta-orbital Transition in Heavy-fermion Systems: Analysis by Dynamical Mean Field Theory and Self-consistent Renormalization Theory of Orbital Fluctuations
• 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
• Influence of lattice structure on multipole interactions in ${\Gamma }_3$ non-Kramers doublet systems
• Classical Monte Carlo study for antiferro quadrupole orders in a diamond lattice
• Quantum critical "opalescence" around metal-insulator transitions
• 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
• Giant Anisotropic Magnetoresistance due to Purely Orbital Rearrangement in the Quadrupolar Heavy Fermion Superconductor PrV${}_2$Al${}_{20}$
• Field-Orientation Effect on Ferro-Quadrupole Order in PrTi2Al20
• Hindered Quadrupole Order in PrMgNi4 with a Nonmagnetic Doublet Ground State
• Anisotropic Superconductivity Emerging from the Orbital Degrees of Freedom in a ${\Gamma }_3$ Non-Kramers Doublet System
• Thermal and field-induced transitions in ferroquadrupolar Kondo systems
• RKKY Interaction and Quadrupole Order in PrT2Al20 (T=Ti, V) Based on Effective 196 Orbital Model Extracted from First-Principles Calculation

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