Unconventional Superconductivity arising from Multipolar Kondo Interactions

The nature of unconventional superconductivity is intimately linked to the microscopic nature of the pairing interactions. In this talk, motivated by cubic heavy fermion compounds with embedded multipolar moments, we theoretically investigate superconducting instabilities instigated by multipolar Kondo interactions. Employing multipolar fluctuations (mediated by RKKY interaction) coupled to conduction electrons via two-channel Kondo and novel multipolar Kondo interactions, we discuss the nature of the realized unconventional superconducting states. This work lays the foundation for discovery and classification of superconducting states in rare-earth metallic compounds with multipolar local moments.