Topology of Electronic Materials and Their Linear and Nonlinear Responses - Lecture 1

Watch a comprehensive physics lecture exploring the topology of electronic materials and their responses, delivered by Joel Moore from UC Berkeley and Lawrence Berkeley National Laboratory. Delve into how geometric properties of electron wavefunctions in crystals explain various experimental phenomena, starting with the integer quantum Hall effect and Berry curvature from Bloch states. Learn about gauge fields in the Brillouin zone and their role in equilibrium and linear-response properties, while examining recent developments in nonlinear and non-equilibrium applications. Beginning with fundamental quantum mechanics concepts, advance through modern applications in topological states, with particular emphasis on effects beyond the standard adiabatic limit. Part of the Infosys-ICTS Chandrasekhar Lectures series, this nearly two-hour presentation offers an in-depth exploration of quantum matter, perfect for those interested in theoretical physics and materials science.