# 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 |