- Docente: Domenico Di Sante
- Credits: 6
- SSD: FIS/03
- Language: English
- Moduli: Cesare Franchini (Modulo 1) Domenico Di Sante (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 9245)
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from Feb 26, 2024 to Mar 25, 2024
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from Mar 26, 2024 to May 28, 2024
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.
Dielectric Function and linear response
Theory of Superconductivity
Elements of Quantum Monte Carlo methods
Readings/Bibliography
Lectures Notes
Many-Body Quantum Theory in Condensed Matter Physics: An Introduction, Henrik Bruus and Karsten Flensberg
Quantum Field Theory for the gifted amateur, T. Lancaster & S.J. Bundell; OXFORD
A Guide to Feynman Diagrams in the Many-body Problem, Richard D. Mattuck; Dover
Teaching methods
Front lectures (Including exercises and numerical simulations)
Assessment methods
The final exam can be given in two modalities:
1) Three questions spanning the whole course.
2) Presentation of a project (the list of topics will be given close to the end of the course) followed by a question that does not directly relate to the project.
Teaching tools
Blackboard, Slides, Computer applications
Office hours
See the website of Domenico Di Sante
See the website of Cesare Franchini