84536 - INTERACTIONS AND CORRELATIONS IN CONDENSED MATTER

Scheda insegnamento

Anno Accademico 2021/2022

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: interacting atoms and elementary excitations.

The homogeneous interacting electron gas and beyond.

Concept of quasiparticles, Green's function and single-particle excitations.

Response function, dielectric properties and screening.

Dyson equation.

Pair Electron–hole interaction and exciton effects.

Bethe-Salpeter equation.

Electron–phonon interactions.

Polarons.

Feynman diagrams: how to solve the many-problem with pictures.

Elements on quantum monte carlo methods. Diagrammatic Monte Carlo.


BCS superconductivity: theory and phenomenological aspects

Testi/Bibliografia

Fundamentals of Condensed Matter Physics, Marvin L. Cohen and Steven G. Louie; Cambridge

A Guide to Feynman Diagrams in the Many-body Problem, Richard D. Mattuck; Dover

Many-Body Approach to Electronic Excitations: Concepts and Applications, Friedhelm Bechstedt; Springer

Metodi didattici

Front lectures (Including exercises and numerical simulations)

Modalità di verifica e valutazione dell'apprendimento

Oral exam, possibly accompanied by a project.

Strumenti a supporto della didattica

Blackboard, Slides, Computer applications

Orario di ricevimento

Consulta il sito web di Cesare Franchini

Consulta il sito web di Samuele Sanna

Consulta il sito web di