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

Prerequisites:
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 -
28.07.2022
Thursday (Exercise)
02:45 - 04:15 pm
Exercise takes place at the FZJ
(GRS lecture room)
07.04.2022 -
28.07.2022