Critical theory of non-Fermi liquid fixed point in multipolar Kondo problem

The embedding of multipolar local moments in a metallic host offers a route to uncover novel spin-orbital entangled quantum ground states. In this talk, we theoretically investigate the multipolar Kondo problem, where conduction electrons interact with localized higher-rank multipolar moments (such as quadrupolar or octupolar moments). Using non-abelian bosonization, current algebra, and conformal field theory approaches, we demonstrate the appearance of a novel non-Fermi liquid state, which is characterized by highly singular power-law behaviours in its physical properties. This work provides the foundation for the discovery of a variety of non-Fermi liquid ground states in quantum materials through the introduction of multipolar moments in itinerant electron systems.