Lecture content & slides & additional information

I. Introduction (slides)


II. Magnetism of free atoms/ions (slides)

  • Hamiltonian of atoms in an external magnetic field
  • Perturbation theory for treating effects of B-field
  • Larmor diamagnetism
  • Paramagnetism of free atoms, Curie law
  • Van Vleck paramagnetism
  • Spin-orbit coupling
  • Hund's rules
  • Hyperfine interaction


III. Cooperative phenomena (slides)


IV. Magnetism in metals (slides)


V. Micro- and Nanomagnetism (slides)


VI. Magnetoresistive Effects and Spinelectronic Devices (slides)


VII. Atoms in crystalline environment (slides)


VIII Electronic correlation, Hubbard model, Mott insulators (slides)

Advanced further reading: M. Imada, A. Fujimori, Y. Tokura: Metal-Insulator transitions, Rev. Mod. Phys. 70, 1039–1263 (1998)

  • General idea of the Mott transition
  • Bandwidth controlled Mott transition
  • The example of NiO
  • Hubbard model
  • One-band Hubbard model
  • Which electrons are we talking about?
  • Hubbard subbands
  • The example of RNiO3
  • Mott-Hubbard vs. charge transfer insulators
  • Bandwidth-controlled metal-insulator transition
  • Zaanen-Sawatzki-Allen Schema
  • Link: Zaanen-Sawatzki-Allen, PRL 1985
  • Link: Experimental Zaanen-Sawatki-Allen schema: Boquet1996


IX Exchange Interactions (slides)


X One-dimensional quantum magnets (slides)