Academic Year 2018/2019 - 1° Year - Curriculum CONDENSED MATTER PHYSICS
Teaching Staff: Elisabetta PALADINO and Francesco M. D. PELLEGRINO
Credit Value: 6
Scientific field: FIS/03 - Physics of matter
Taught classes: 42 hours
Term / Semester:

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

  • 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.

Textbook Information

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

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