Electronic transport and superconductivity

The first part of the course will present the quasi-classical regime of electronic transport and its corrections related to electronic interferences in diffusive conductors. It will also discuss electronic transport in low-dimensional ballistic conductors where the conductance is quantized.  Finally, the course will present the case of quantum Hall conductors, where the topological order enforces a robust quantization of the conductance which becomes insensitive to the local properties of the conductor. 

The second part of the course is devoted to superconductivity. After a brief introduction on superconductors, the microscopic BCS theory will be presented, and the electrodynamics properties of superconductors studied. Special attention will be devoted to quantum phase coherence aspects, such as the Josephson effect. In particular, transport properties through Andreev states in normal conductors coupled to superconductors will be explained in the spirit of the first part of the lecture. Topological superconductors and their specificities will be also discussed.