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Magnetism from Single Spins to Spintronics
The goal of the course is to provide a comprehensive description of magnetism across length scales, from the microscopic physics of individual spins in solids to the collective behavior of magnetic materials described by continuous micro-magnetics. Starting from the quantum and atomic origins of magnetic moments, the course introduces exchange interactions, magnetic anisotropy, and spin dynamics at the single-spin level. It then develops the concepts of collective magnetism in localized and itinerant systems, including magnetic ordering, spin waves, and domain formation. Finally, the course presents the continuum description of magnetization dynamics and magnetic textures within the framework of micromagnetism, with applications to modern condensed matter physics and spintronics.
Outline of the course
Part I. Magnetism at the single spin level. Teacher : Gabriel Hétet
- Magnetism in atomic physics
- Hunds rule, van Vleck Paramagnetism
- Exchange interaction
- Representations theory of finite groups
- Irreducible representations of symmetry groups
- Schur’s lemma
- Magnetism with single spins in solids
- Orbital angular momentum quenching, magnetic anisotropy
- g-tensor
- Spin Relaxation
Part II. Micromagnetism and spintronics. Teacher : Vincent Jeudy
1. Energy contributions
- Anisotropy, coupling between magnetic layers
2. Magnetic textures
- Domain, domain walls, skyrmions
3. Magnetization Dynamics
- Landau–Lifshitz–Gilbert equation, ferromagnetic resonance and spin-wave propagation
- Dynamics of magnetic textures:
- Spintronics
- Itinerant Magnetism and spin-dependent transport
- Spin Transfer phenomena
Examination rules
Written Exam, or article review
