84536 - Interactions and Correlations in Condensed Matter

Academic Year 2022/2023

  • 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)

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

Lecture Notes

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

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 Domenico Di Sante