Constraints on Transport and Superconductivity in Quantum Matter I

Explore fundamental constraints governing transport phenomena and superconductivity in quantum matter systems through this comprehensive physics lecture from the Boulder Summer School 2025. Delve into the theoretical frameworks that limit and define how electrons move through quantum materials, examining the intricate relationship between transport properties and superconducting behavior. Learn about the mathematical and physical principles that constrain charge transport in strongly correlated electron systems, including the role of quantum fluctuations, disorder, and many-body interactions. Investigate how these constraints manifest in real materials and influence the emergence of superconducting phases, with particular attention to unconventional superconductors and quantum critical systems. Gain insights into current research methodologies used to study transport in quantum matter, including both theoretical approaches and experimental techniques that probe these fundamental limits.