Quantum Theory of Electronic Transport

This lecture covers the quantum theory of electronic transport, starting with a discussion on Drude theory and kinetic theory. It then delves into the local form of Ohm's law, average velocity, and the behavior of electrons under different conditions. The lecture also explores the concepts of relaxation time, Drude formula, and the impact of sample shape on electrical conductivity. Furthermore, it discusses the Landauer-Büttiker formalism, conductance of ideal conductors, and the effects of scattering on electronic transport. The presentation concludes with a detailed examination of coherent transport, Anderson localization, and the behavior of eigenstates in disordered systems.