Two-stage multipolar ordering in Pr(TM)${}_2$Al${}_{20}$ Kondo materials

Abstract

Among heavy fermion materials, there is a set of rare-earth intermetallics with non-Kramers Pr${}^{3+}$ $4f^2$ moments which exhibit a rich phase diagram with intertwined quadrupolar orders, superconductivity, and non-Fermi liquid behavior. However, more subtle broken symmetries such as multipolar orders in these Kondo materials remain poorly studied. Here, we argue that multi-spin interactions between local moments beyond the conventional two-spin exchange must play an important role in Kondo materials near the ordered to heavy Fermi liquid transition. We show that this drives a plethora of phases with coexisting multipolar orders and multiple thermal phase transitions, providing a natural framework for interpreting experiments on the Pr(TM)${}_2$Al${}_{20}$ class of compounds.

arXiv comment8 pages, 8 figures

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• Eight-color chiral spin liquid in the $S=1$ bilinear-biquadratic model with Kitaev interactions
• Emergent non-Fermi-liquid phenomena in multipolar quantum impurity systems
• Multipolar superconductivity in Luttinger semimetals
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
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• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Evolution of non-Kramers Doublets in Magnetic Field PrNi${}_2$Cd${}_{20}$ and PrPd${}_2$Cd${}_{20}$
• Multipolar Skyrmion Crystals in Non-Kramers Doublet Systems
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Rise and Fall of Non-Fermi Liquid Fixed Points in Multipolar Kondo Problems
• Thermal and field-induced transitions in ferroquadrupolar Kondo systems
• Strange-metal behavior without fine-tuning in PrV2Al20
• Emergence of quadrupolar order under magnetic field in $5d^2$ double perovskites
• L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$