- Docente: Loris Ferrari
- Credits: 6
- SSD: FIS/03
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 8025)
Learning outcomes
At the end of the course the students learn the basic knowledges of advanced theoretical condensed matter physics, in particular regarding Band theory, Electron-electron interactions, Mott transition, Superfluidity, Electron-phonon interaction and Elements of BCS superconductivity; Magnetic systems and phase transitions.
Course contents
Born-Oppenheimer and mean field approximation for the electrons in solids. Band Theory. Effective potential in conducturs. Thomas-Fermi potentials. Dielectric constant in non conductors. Mott-Hubbard insulators and Mott transition. 2nd quantization representation. Hartee.Fock theory in metals. Density functional theory. Kohn-Hohenberg theorems. Kohn-Sham equations. Bogoliubov theory of weakly interacting bosons. Superfluidity. Phonons. Elements of the continuum dynamics. Transversal and longitudinal phonons. Electron-phonon interactions. The polaron. Cooper pairs. Deduction of the BCS Hamiltonian. BCS superconductivity-
Readings/Bibliography
Loris Ferrari: "Appunti per il Corso di Complementi di Struttura della Materia", free access on line notes.
C. Kittel: "Quantum Theory of Solids" (John Woley & Sons)
J.M. Ziman: "Principles of the theory of solids" (Cambridge University Press)
Teaching methods
Oral lessons
Assessment methods
Oral examination with exercizes
Teaching tools
Blackboard
Office hours
See the website of Loris Ferrari