FIS/03 - 6 CFU - 2° Semester

Teaching Staff


Learning Objectives

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.

Course Structure

Lectures are usually at the blackboard, some lectures are given using slides.

Detailed Course Content

Vanishing resistance and Meisser effect. Magnetic flux quantization. Gorter Casimir model. Electrodynamics of superconductors: London phenomenological theory. Ginzburg Landau 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).

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.

Textbook Information

Michael Tinkham - Introduction to Superconductivity: Second Edition - Dover Books on Physics

M. I. Katsnelson - Graphene: carbon in two dimensions - Cambridge

Open in PDF format Versione in italiano