## Lectures

SS 2017 |
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Computational Many-Body Physics RWTH Aachen & GRS Admission: Literature: A.L. Fetter and J.D. Walecka Quantum Theory of Many-Particle Systems, Dover, 2003 H. Bruus and K. Flensberg: Many-Body Quantum Theory, Oxford W. Nolting and W.D. Brewer Fundamentals of Many-Body Physics, Springer, 2009 See also my chapter in E.Pavarini, E.Koch, P. Coleman (eds): Many-Body Physics: From Kondo to Hubbard , FZ-Juelich, 2015
and other autumn schools. In particular: link to chapter 2015 (Hubbard model) link to chapter 2014 (Green functions) |

LECTURE CONTENT [in parentesis: where you find more infos]

- Solid state physics as many-body problem [see slides, or also intro chapter 15]
- Second quantization [recommended books]
- Fermions [recommended books]
- Electron gas [recommended books]
- Hubbard model and Heisenberg model [chapter 2015]
- Two-site Hubbard model [chapter 2015]
- 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, books]
- Fermi-liquid theory [chapter 2015, books]
- Dynamical mean field theory (DMFT) [chapter 2015,2014]
- Mott metal-insulator transition [chapter 2015]

- 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

Learn how to build your own DMFT code!

Determin the on-set of the metal-insulator transition.

LECTURE MATERIAL (will be uploaded during the semester)

- Lecture 27.04.2017 Topic: Intro and second quantization slides exercises solution
- Lecture 04.05.2017 Topic: second quantization, Electron gas exercises solution
- Lecture 11.05.2017 Topic: Electron gas, Hubbard model exercises solution and code
- Lecture 18.05.2017 Topic: Hubbard model exercises solution
- Lecture 01.06.2017 Topic: Green functions exercises solution
- Lecture 22.06.2017 Topic: Temperature Green functions, Matsubara sums exercises slides project II project III
- Lecture 29.06.2017 Topic: Perturbation theory & Wick theorem exercises slides solution project IV
- Lecture 06.07.2017 Topic: Hubbard model, Fermi-liquid theory exercises slides solution project V
- Lecture 13.07.2017 Topic: Dynamical mean-field theory exercises slides solution project VI
- Lecture 20.07.2017 Topic: Summary and questions
- Lecture 27.07.2017 Topic: Exam