Volumes horaires
- CM 12.0
- Projet 0
- TD 12.0
- Stage 0
- TP 0
- DS 0
Crédits ECTS
Crédits ECTS 3.0
Objectif(s)
Understand physics associated with particular states of electrons in solid state materials, such as superconductivity, scattering and 2d materials.
Contact Lionel BASTARDContenu(s)
Chapter 1: Superconductivity
- attractive interaction and Cooper pairing
- BCS theory and excitation spectrum
- order parameter and coherence length
- critical field and vortices
- Cooper pair tunneling in Josephson junctions
Chapter 2: Mesoscopic physics
- scattering process (electrons, phonons, spin, temperature dependence)
- interference effects (Aharonov-Bohm oscillations, weak localization, spin-orbit interaction)
- ballistic transport (1D conductance, quantum point contacts, quantum Hall effect)
- scattering theory (Landauer-Büttiker formalism, symmetry relations, shot noise)
- quantum dots (level spectrum, Coulomb blockade, stability diagram)
Chapter 3: Topological phases
- topological invariants, spinors, Berry phase
- 1D SSH model, Kitaev chain, Majorana modes
- 2D systems, Dirac fermions, graphene, Klein tunneling
- quantum Hall effect, Chern numbers, conductance quantization
- topological bands, edge modes, quantum spin Hall
Prérequis
Quantum mechanics M1
Solid state physics M1
Semiconductor physics M1
Statistical physics M1
Contrôle des connaissances
Semestre 9 - L'examen existe uniquement en anglais 
Informations complémentaires
Semestre 9 - Le cours est donné uniquement en anglais
Cursus ingénieur->Double-Diplômes Ingénieur/Master->Semestre 9