- Domaine : Masters du domaine SCIENCES ET TECHNOLOGIES
- Diplôme : Master
- Mention : Physique fondamentale et applications
- Parcours : M2 Astrophysique
- Unité d'enseignement : Physics of condensed systems
Nombre de crédits de l'UE : 6
Code APOGEE : PHY1016M
UE Libre pour ce parcours
UE valable pour le semestre 1 de ce parcours
Type d'enseignement
Nb heures *
Cours Magistraux (CM)
30 h
Travaux Dirigés (TD)
30 h
* Ces horaires sont donnés à titre indicatif.
Compétences attestées (transversales, spécifiques) :
Non rédigé
Programme de l'UE / Thématiques abordées :
Chapter 1. The tools of statistical physics to describe solids (fermions, bosons)
- Quantum and classical statistics
- Fermi-Dirac and Bose-Einstein statistics
- The free electron gas. From Drude's model to Sommerfeld's model. Mean free path
- The periodic conditions of von Karman. Density of states, Fermi energy.
- Effects of temperature. Heat capacity of the free electron gas
- From the Maxwell distribution of photons to the Boson gas.
Chapter 2. Crystalline solids
- Cohesive energy
- Crystal and lattice
- Diffraction and reciprocal space
- Direct and reciprocal gratings
- Brillouin zones
Chapter 3. Dynamics of solids.
- Dynamics of a 1 dimensional crystal
- Dynamics of a 3 dimensional crystal
- Phonons are bosons
- Einstein and Debye models. Specific heat of phonons.
Chapter 4 Electrons in crystalline solids. Band structure models
- Potential periodicity and free electron model. Electronic band structure.
- Bloch's theorem.
- The quasi-free electron model.
- The tight bonding model. Energy bands and vacancies.
Chapter 5 Electrons in crystalline solids. Band structure and physical properties
- The electronic density of states.
- Electron dynamics in a crystal. The effective mass. Electrons and holes. Hall effect.
- Classification of solids based on their electronic structure.
- Thermal conduction and Wiedemann-Franz law.
Chapter 6. Magnetic properties
- Paramagnetism and diamagnetism. Magnetization and magnetic susceptibility.
- Ferromagnetism. Weiss molecular field theory and mean field theory. Domains.
- Spin waves. Magnetization and specific heat.
Liste des autres Parcours / Spécialité / Filière / Option utilisant cette UE :
Date de la dernière mise-à-jour : 13/11/2021
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