| Summary: | 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 moments. 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 behaviors 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.
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