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 BASTARD, Benoit BOULANGER, Hermann SELLIERContenu(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
Cursus ingénieur->Masters->Semestre 9