SUPERCONDUCTIVITY

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).

• Special topics

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