- Docente: Cesare Franchini
- Credits: 6
- SSD: FIS/03
- Language: English
- Moduli: Cesare Franchini (Modulo 1) Samuele Sanna (Modulo 2) Thomas Hahn (Modulo 3)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2) Traditional lectures (Modulo 3)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 9245)
Learning outcomes
At the end of the course the student will acquire the basic notions about interacting electron systems, by discussing phenomena such as electron interactions in solids, Mott transition, superfluidity, electron-phonon interaction and elements of BCS superconductivity. He/she will also be acquainted with magnetic systems and their phase transitions.
Course contents
Introduction: The homogeneous interacting electron gas and beyond.
Second Quantization and second quantized Hamiltonian.
Electron and Phonons.
The polaron problem.
Green's function and Dyson equation.
Feynman diagrams: how to solve the many-problem with pictures.
Elements on quantum monte carlo methods. Diagrammatic Monte Carlo.
Dielectric Function and linear response
BCS superconductivity: theory and phenomenological aspects
Readings/Bibliography
Lecture Notes
A Guide to Feynman Diagrams in the Many-body Problem, Richard D. Mattuck; Dover
Fundamentals of Condensed Matter Physics, Marvin L. Cohen and Steven G. Louie; Cambridge
Teaching methods
Front lectures (Including exercises and numerical simulations)
Assessment methods
Oral exam, possibly accompanied by a project.
Teaching tools
Blackboard, Slides, Computer applications
Office hours
See the website of Cesare Franchini
See the website of Samuele Sanna
See the website of Thomas Hahn