1. Introduction and a short review on magnetism

  • „Quantum“ vs. „classical“ magnetism
  • Bohr – van Leeuwen Theorem
  • Magnetism of free atoms
  • Link: Images representing atomic orbitals
  • Hund‘s rules, spin-orbit coupling
  • Magnetism in solids
  • Cooperative phenomena
  • Hubbard model, kinetic exchange

2. Molecular magnets: 0D quantum magnets

3. 1D quantum magnets

4. Quantum magnets in external magnetic field

  • Isolated dimers vs. coupled dimers
  • uniform HAF
  • "Bose-Einstein condensation of magnons"

5. Geometrically frustrated magnets

5.  2D quantum magnets