Computational Many Body Theory


Details about Lecture and Exercise

The Lecture and the Exercise is given by Prof. Pavarini.

Lecture Content:

  • Solid state physics as many-body problem [see slides, or also intro chapter 2015]
  • Second quantization [recommended books]
  • Fermions [recommended books]
  • Electron gas [recommended books]
  • Hubbard model and Heisenberg model [chapter 2015, 2017]
  • Two-site Hubbard model [chapter 2015, 2017]
  • Matsubara formalism and many-body perturbation theory [chapter 2014, books]
  • Green function and self-energy [chapter 2014, books]
  • Mean-field approches [chapter 2015]
  • Hartree-Fock method [chapter 2015, 2017, books]
  • Fermi-liquid theory [chapter 2015, books]
  • Dynamical mean field theory (DMFT) [chapter 2014, 2015, 2017]
  • Mott metal-insulator transition [chapter 2015, 2017]
  • ADVANCED TOPICS (depending on audience and time):
  • t-j model
  • Anderson and Kondo model
  • Kondo effect
  • two-site Anderson model
  • Monte Carlo method
  • Quantum Monte Carlo method as impurity solver for DMFT

Quantum Mechanics. Analysis, including complex functions. Basic statistics. Basic solid state physics. Fourier transforms and their properties. Ability of writing small codes in a language of choice.

Learning goals:
The aim of the lecture is introducing students to modern many-body techniques, in particular the dynamical mean field theory.

Many-body physics is complex. I recommend to attend if you are indeed interested in learning the subject :).

Time Room Start / Finish
Tursday (Lecture)
09:15 - 11:45 am
Lecture takes place at the FZJ
(GRS lecture room)
07.04.2022 -
Thursday (Exercise)
02:45 - 04:15 pm
Exercise takes place at the FZJ
(GRS lecture room)
07.04.2022 -