Contents & advanced reading
Introduction (slides)
- Formal and organisational stuff
- What to expect from the lecture (general motivation)
I Landau theory of Fermi liquids (slides, notes, slides¬es)
- Fermi gas theory
- Wilson ratio
- Quasipartcles excitations
- Fermi liquid concept
II Electron systems and the lattice (slides, notes, slides¬es)
- Micro review: Band formation
- Micro review: Toolbox of 2nd quantisation applied on the Fermagas
- Micro review: BCS theory of superconductivity
- Advanced reading: Gruener, Review Mod Phys
- Charge density wave
- Peierls instability
- Link: Review paper on Peierls Instability and Charge Density Waves: Pouget 2016
- Nesting of the Fermi surface
- Advanced reading: Schmitt et al.
- Advanced Reading: Brun et al.
- Kohn anomaly
- Advanved reading: Hoesch et al.
- Sliding Charge Density Waves
III Mott-Hubbard transition (notes, slides, slides¬es)
Advanced further 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: "Festkörperphysik ist viel zu spannend, um sie allein den Physi-kern 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
- Mott-Hubbard vs. charge transfer insulators
- Charge motion vs. AFM order; stripe formation
- Spin-charge separation
IV Kondo effect, Heavy fermion systems (notes, bare slides, slides+notesJan21st)
- Localized magnetic moments in metals
- Kondo effect
- Link: Jun Kondo's homepage
- Kondo resonance
- Heavy fermion systems
- Kondo vs. RKKY
- Doniach diagram
- Mixed valence systems
- Kondo insulators
- Advanced reading: P. Coleman, Review 2007
V 2D frustrated materials: spin ice, spin liquid & more (notes, bare slides, slide+notes)
- Magnetic frustration
- Spin ice
- Magnetic monopoles in spin ice
- Further reading: Pauling 1935: The structure and entropy of ice... (Link to JACS)
- Further reading: Gingras 2009: Observing Monopoles in a Magnetic Analog of Ice (Link to Science journal webpages)
- Further reading: Review, Science 2001 (Link to the "Science" journal webpages)
- Orbital frustration
- Frustrated quantum spin chains
- (Magnetic refridgeration)
- 2D triangular lattive
- RVB state
- 2D triangular Ising model
- Topological defects
- Link: Nobel Prize 2016 Haldane, Kosterlitz, Thouless: Scientific background: Topological phase transitions and topological phases of matter
- Link: A new paradigm to distinguish materials according to their topological band nature
- Real space skyrmion soccer: arxiv