Emergent non-Fermi-liquid phenomena in multipolar quantum impurity systems

Abstract

Discovery of novel spin-orbital entangled quantum ground states paves an important avenue for controllable quantum materials via unique couplings to the lattice and other external perturbations. In this work, motivated by recent experiments on cubic heavy fermion materials with multipolar local moments, we theoretically investigate strongly-interacting spin-orbital entangled quantum ground states in multipolar quantum impurity systems. Here itinerant electrons are interacting with the local moments carrying quadrupolar and octupolar moments, in contrast to the conventional Kondo problem with dipolar local moment. Using perturbative renormalization group methods, we uncover a number of non-Fermi liquid ground states, which are characterized by an absence of well-defined quasiparticles and singular power-law behaviours in physical properties. We show that the non-Fermi liquid states found here are outside the known categories of non-Fermi liquid states in the conventional multi-channel Kondo problem. This work lays a novel ground for the identification of unexpected non-Fermi liquid phases in many strongly spin-orbital-coupled quantum materials.

arXiv commentPublished version: 7 pages, 16 pages Supplementary Information (including references)

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• Multipolar magnetism in d-orbital systems: Crystal field levels, octupolar order, and orbital loop currents
• Critical theory of non-Fermi liquid fixed point in multipolar Kondo problem
• Quadrupolar spin liquid, octupolar Kondo coupling and odd-frequency superconductivity in an exactly solvable model
• Signatures of hidden octupolar order from nonlinear Hall effects
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• Non-Fermi liquid behavior and quantum criticality in cubic heavy fermion systems with non-Kramers multipolar local moments
• Multipolar Skyrmion Crystals in Non-Kramers Doublet Systems
• Quantum Criticality Enabled by Intertwined Degrees of Freedom
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• Non-Trivial Fixed Points and Truncated SU(4) Kondo Models in a Quasi-Quartet Multipolar Quantum Impurity Problem