Electronic correlations and quantum effects in solids

1. Introduction

General reading: Review from Tremel et al., (Solid State Chemistry) on Metal-Insulator transitions (Mott-Hubbard, CDW, Nesting, correlations,...) (German)

2. Electronic correlations, Mott transition

  • Independent electrons
  • Excitations of the Fermi ground state
  • Fermi liquid
  • Tight binding
  • Tutorial I: Measuring Fermi surfaces of Ni
  • General idea of the Mott transition
  • Bandwidth controleld Mott transition
  • The example of V2O3
  • Photoemmission Spectroscopy and inverse PES
  • Link: Review Photoemission Spectroscopy Reinert 2005
  • Cluster appoach
  • Configuration interaction model
  • Tutorial II: PES on Ni
  • 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
  • Bandwidt-controlled metal-insulator transition
  • Zaanen-Sawatzki-Allen Schema
  • Link: Zaanen-Sawatzki-Allen, PRL 1985
  • Link: Experimental Zaanen-Sawatki-Allen schema: Boquet1996
  • Negative CT gap

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

3. t-J model, kinetic exchange, away from half-filling

4. Low-dimensional conductors

5. Kondo effect, Heavy fermion systems

  • 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