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You are here: Home Teaching Lectures and Seminars Summer Term 2015 Advanced Theoretical Condensed Matter Physics

Advanced Theoretical Condensed Matter Physics

Prof. Johann Kroha

Lecture (physics638)


The lectures will take place Fridays (14:00 – 17:00) in the Lecture Hall (Hörsaal) of the Helmholtz Institute for Nuclear and Radiation Physics (HISKP).


Module Description

Follow this link for the module description.


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
  • Disordered systems: Electrons in a random potential
  • Superconductivity


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)
  • 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. W. Phillips, Advanced Solid State Physics, 2nd ed. (Cambridge University Press, 2012)


Final exam

The first final exam will be on Friday, July 17, 14-17h in the lecture hall HISKP.



The exercise sheets will be given out on Fridays during the lecture.

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


Lecture notes

Chapter 1:    Quantum field theory at finite temperature

                            1.1.1     1.1.2     1.1.3

                            1.2.1     1.2.2     1.2.3

                            1.3.1     1.3.2

                            1.4.1     1.4.2     1.4.3     1.4.4     1.4.5

Chapter 2:    Kondo effect and renormalization group





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