Aim of this course is to provide students with advanced knowledge of Physics of superconducting materials and of graphene and on their potential applications in nano- and quantum-technologies.
Lectures are usually at the blackboard, some lectures are given using slides.
Basic phenomena and phenomenological theories
Vanishing resistance and Meisser effect. Magnetic flux quantization. Gorter Casimir model. Electrodynamics of superconductors: London phenomenological theory. Ginzburg Landau theory.
Mircoscopic Bardeen-Cooper-Schrieffer (BCS) theory
Cooper pairs. Origin of the attractive interaction and “s-wave pairing” - BCS ground state. Energy bands and superconducting gap, density of states - Finite temperature effects: critical temperature - Penetration depth – Electron tunneling and Cooper-pair tunneling – Josephson effect – Josephson effect in the presence of magnetic field: Superconducting Quantum Interference Devices (SQUID).
Grafene
Band structure: tight binding model. Weyl Dirac fermions. Landau levels. Klein tunneling, Landuer Buettiker formalism. Graphene Josephson junctions (SNS).
Josephson effect in mesoscopic junctions – Superconducting artificial atoms - Introduction to high-temperature superconductivity - The Lawrence Doniach model. Superconductivity in graphene, hydrodynamic transport in graphene.
Michael Tinkham - Introduction to Superconductivity: Second Edition - Dover Books on Physics
M. I. Katsnelson - Graphene: carbon in two dimensions - Cambridge