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&notes)

• Fermi gas theory
• Wilson ratio
• Quasipartcles excitations
• Fermi liquid concept

 

II Electron systems and the lattice (slides, notes, slides&notes)

• 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&notes)

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