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You are here: Home Teaching Lectures and Seminars Summer Term 2019 Advanced Theoretical Condensed Matter Physics

Advanced Theoretical Condensed Matter Physics


Lecture (physics638)


Wed 13 - 14 h, HISKP Lecture Hall

Fri 10 - 12 h, 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)
  •  J. Bruus, K. Flensberg, Many-body Quantum Theory in Condensed Matter Physics: an Introduction. Oxford University Press (2011).

Final exam

22.07.19 in HS I, PI


Second exam




The exercises will take place every Friday 16-18h c.t. in AVZ I, Room 0.033. Exercise sheets are handed out Wednesday and will be collected the second Wednesday after it has been handed out. Please work together in groups of up to three (not mandatory but highly recommended). Problem sheets will be discussed in the same week they are handed in. The week after, we will answer questions about the lecture, give detailed calculations or take our time to elaborate the problem sheets in more detail.

The tutors are Michael Kajan (kajan(at) and Marvin Lenk (mlenk(at)


Exercise sheets

ATCM Sheet 1 (handed out 17.04.19, due 02.05.19 12h in room PI 1.055)
ATCM Sheet 2 (handed out 03.05.19, due 15.05.19)
ATCM Sheet 3 (handed out 17.05.19, due 29.05.19)
ATCM Sheet 4 (handed out 31.05.19, due 19.06.19)
ATCM Sheet 5 (handed out 21.06.19, due 03.07.19)


ATCM Script chapter 1 to 4 (preliminary - second chapter not  reviewed, third and fourth chapter only draft and not reviewed)
Please contact us if you find mistakes of any kind.
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