DMFT and beyond: Cluster Methods, DFT+DMFT, diagrammatic expansions

Advanced course given by Massimo Capone

Term: 2

Start: 01-03-2020 End: 23-04-2020 Room: 131

Credits: 2

Schedule: Tue 14:00 - 16:00, Fri 14:00 - 16:00

Program

The course presents a large spectrum of methods and results based on the Dynamical Mean-Field Theory, a powerful non-perturbative method to solve models for strongly correlated electrons. The approach is introduced in the advanced many-body course

  • Brief summary of DMFT: pros and cons
  • How to solve DMFT: self-consistency, mapping on impurity models and "impurity" solvers
  • The Mott-Hubbard transition in DMFT. Some analytical arguments
  • A numerical implementation of DMFT and the Mott transition
  • Multiorbital Mott transition: the Hund's coupling, spin-orbit coupling
  • Electron-phonon interaction
  • Beyond DMFT: cluster extension
  • Beyond DMFT: diagrammatic extension
  • DMFT and real materials