84536 - INTERACTIONS AND CORRELATIONS IN CONDENSED MATTER

Conoscenze e abilità da conseguire

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.

Contenuti

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

Testi/Bibliografia

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

Metodi didattici

Front lectures (Including exercises and numerical simulations)

Modalità di verifica e valutazione dell'apprendimento

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.

Strumenti a supporto della didattica

Blackboard, Slides, Computer applications

Orario di ricevimento

Consulta il sito web di Domenico Di Sante

Consulta il sito web di Cesare Franchini