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Explore the fascinating world of unconventional superconductivity in this comprehensive physics lecture delivered at the Boulder School of Science 2025. Delve into the theoretical foundations and experimental observations of superconducting materials that deviate from conventional BCS theory, examining exotic pairing mechanisms, symmetries, and phase diagrams that characterize these quantum many-body systems. Investigate the role of strong correlations, magnetic fluctuations, and competing orders in high-temperature superconductors, heavy fermion systems, and other unconventional superconducting materials. Analyze the interplay between superconductivity and other quantum phases of matter, including charge density waves, spin density waves, and quantum critical points. Learn about advanced theoretical approaches used to understand these complex systems, including renormalization group techniques, functional methods, and numerical simulations. Examine experimental signatures that distinguish unconventional superconductors from their conventional counterparts, such as gap anisotropy, power-law temperature dependencies, and unusual thermodynamic properties. Discover current research frontiers in the field, including iron-based superconductors, twisted bilayer graphene, and other emerging platforms for unconventional superconductivity.
