Introduction (slides)

  • Formal and organisational stuff
  • What to expect from the lecture (general motivation)
  • "Order vs. disorder in a quantum world"

I Landau theory of Fermi liquids (slides)

  • Fermi gas theory
  • Wilson ratio
  • Quasipartcles excitations
  • Fermi liquid concept
  • non-Fermi liquid: Basic concept
  • Example: High-Tc SC
  • Example: Quantum critical point

II Electron systems and the lattice (slides)

III Mott-Hubbard transition (slides)

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

Advanced reading: Tremel et al, Metall oder Nichtmetall? (in German) 1st sentence: "Festkörperphysik ist viel zu spannend, um sie allein den Physikern zu überlassen.")

  • What are electronic correlations?
  • Mott transition: general idea
  • Phase diagram of V2O3 under pressure
  • One-band Hubbard model
  • Which electrons are we talking about?
  • Hubbard subbands
  • Bandwidth-controlled metal-insulator transition
  • The example of RNiO3
  • Magnetism in the Hubbard model
  • PES on Ni, NiO; Cluster approach
  • How does a synchrostron work (BESSY II Video)
  • Mott-Hubbard vs. charge transfer insulators
  • Charge motion vs. AFM order; stripe formation
  • Spin-charge separation

IV Kondo effect, Heavy fermion systems (slides)

V Low-dimensional and frustrated materials: spin ice, spin liquid & more (slides)