- Docente: Loris Ferrari
- Credits: 6
- SSD: FIS/03
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 8025)
Learning outcomes
Basic knowledges of advanced theoretical condensed matter physics. Band theory. Electron-electron interactions. Mott transition. Superfluidity. Electron-phonon interaction. Elements of BCS superconductivity. Magnetic systems and phase transitions.
Course contents
Many-body systems. Mean-field theories as a general strategy. Electrons in a crystal. Bloch theorem. Band theory. Polarization and effective potentials. Jellium model for metals. Thomas-fermi-Yukawa potentials. Plasma and Debye length. Mott-Hubbard insulators and metal-insulator transition. Static dielectric constant for insulators. Self-consistent mean-field theories. 2nd quantization representation. Hartree-Foch theory. Massive bosons and superfluidity. Bogoliubov theory. Density functional theory. Kohn-Sham theorems and appplications. Phonon-electron interaction. Polarons. Preliminaries on BCS superconductivity. Magnetic systems as a paradigm of phase transitions. Universality. Mean-field approach to Ising's model. Pair correlation function and critical exponents. Preliminaries to the renormalization group theory.
Readings/Bibliography
toda-kubo-saito, "statistical physics i". springer-verlag.
brandsen and joachain, "physics of atoms and molecules", longman.
plischke and bergersen, "equilibrium statistical physics", world scientific
Assessment methods
oral examination.
Office hours
See the website of Loris Ferrari