Number of hours
- Lectures 12.0
- Projects 0
- Tutorials 12.0
- Internship 0
- Laboratory works 0
- Written tests 0
ECTS
ECTS 3.0
Goal(s)
Understand physics associated with particular states of electrons in solid state materials, such as superconductivity, scattering and 2d materials.
Contact Lionel BASTARDContent(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
Prerequisites
Quantum mechanics M1
Solid state physics M1
Semiconductor physics M1
Statistical physics M1
Test
Semester 9 - The exam is given in english only 
Additional Information
Semester 9 - This course is given in english only
Course list
Curriculum->Double-Diploma Engineer/Master->Semester 9