# Advanced Theoretical Condensed Matter Physics, summer term 2018

Prof. Johann Kroha

## Lecture (physics638)

**Time: Wed 09 - 10 h and Fri 10 - 12 h **

**Place: HISKP Lecture Hall**

## Contents of the Course

**Effects of many-body interactions and disorder in condensed matter systems**

- Quantum field theory at finite temperature, Feynman diagram technique

- Quantum magnetism: Kondo effect, Kondo lattice systems, renormalization group techniques
- Strongly correlated lattice systems: Hubbard, t-J, Heisenberg models
- Superconductivity: BCS theory; Bose-Einstein condensation (BEC), BCS-BEC crossover

- Disordered systems: Electrons in a random potential. Quantum interference and Anderson Localization

## Recommended Literature

- A. A. Abrikosov, L.P. Gorkov; Methods of Quantum Field Theory in Statistical Physics (Dover, New York 1977)
- W. Nolting; Grundkurs Theoretische Physik Band 7: Vielteilchentheorie (Springer, Heidelberg 2002), also in English
- A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, 1997)
- P. Fazekas, Lecture Notes on Electron Correlation and Magnetism (World Scientific, 1999, 2003)
- P. Coleman, Introduction to Many-Body Physics (Cambridge University Press, 2015)

## Final exam

The first final exam will be on Friday, July 30, 2018 in Lecture Hall HISKP.

## Exercises

The meeting time of the tutorial session will be arranged during the first lecture on Wed, April 11, 2018.

The due date for the solutions for each exercise is given on the respective exercise sheet.