Advanced Theoretical Condensed Matter Physics

SS 2011, H. Kroha

Exercises by Zhong Yuan Lai and Johannes Martens

Lectures: Tu 14, Th 10-12, HS I, PI

Tutorials: Every Wednesday, 16 - 18, Lecture Room 118, AVZ 1 (First Exercise 27.04.2011)


The homework will be reviewed during the tutorials.

The homework solutions will be collected every Tuesday in the lecture, and new exercise sheets will also be distributed on Tuesdays.

to be discussed on sheet
27.4 Exercise 1
11.5 Exercise 2
18.5 Exercise 3
23.5 Exercise 4
1.6 Exercise 5
22.6 Exercise 6
29.6 Exercise 7
4.7 Exercise 8
6.7 Exercise 9



  1. A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics, Dover Publications, 1975
    The standard textbook from which to learn the diagrammatic techniques for use in many-body problems. Can be a litle terse in places, and not many examples. This book can be profitably complemented by the next book.
  2. A.L. Fetter, J. D. Walecka, Quantum Theory of Many-Particle SYstems, Dover Publications, 2003.
    Great book with clear explanations of the techniques used and relevant examples. Good for use for both the zero- and finite temperature field theory formalisms. Also it is cheap.
  3. R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover Books on Physics and Chemistry), Dover Publications, 1992.
    A gentle introduction to Feynman diagrams that should appeal to all students of condensed matter physics. Almost reads like a "Dummies Guide to ..." kind of book.
  4. H. Bruus, K. Flensburg, Many-Body Quantum Theory in Condensed Matter Physics: An Introduction (Oxford Graduate Texts), Oxford University Press, 2004.
    A personal favorite. Contains good chapters on finite temperature Green's functions, diagrammatics and also quite a lot of other esoteric topics.
  5. G. D. Mahan, Many Particle Physics, Springer Netherlands, 2000.
    An encyclopedic book, contains perhaps too much information.
  6. P. Coleman, Introduction to Many-Body Physics, Available here.
    A very good and through monograph on many-body physics. Although the emphasis is on functional integral methods, there are still nice concrete examples on how to do diagrammatic calculations
  7. W. Nolting, Fundamentals of Many-body Physics: Principles and Methods, Springer, 2009.
    A very through book, translated from the German version, which is listed below.
  8. W. Nolting, Grundkurs Theoretische Physik, Bd.7, Viel-teilchen-theorie, Springer-Lehrbuch, 2007

Kondo Physics

  1. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge Studies in Magnetism), Cambridge University Press, 1997
    The standard textbook for the Kondo Problem. May not be the easiest to read.
  2. P. Coleman, Introduction to Many-Body Physics, Available here.
    There are 2 very nice chapters in Coleman's notes that deals with Kondo physics. They are very well written and easy to understand.
  3. P. Phillips, Advanced Solid State Physics, Westview Press, 2002
    This is a very good textbook on condensed matter physics that explains relatively advanced topics from a simple viewpoint. Especially relevant here are the 2 chapters on Kondo physics.

Nonequilibrium Formalism / Keldysh Technique

  1. J. Rammer, Quantum Field Theory of Nonequilibrium States, Cambridge University Press, 2007
    The standard textbook from which to learn the diagrammatic techniques for use in the Keldysh formalism. Good for the formalism, but not that good for applications to realistic systems. For that the next book is good.
  2. H. Haug, A. P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors, 2nd Ed., Springer, 2007.
    A good book from which to learn how to apply the Keldysh formalism to real experimental systems.
  3. J. Rammer, H. Smith, Quantum field-theoretical methods in transport theory of metals, Review paper, 1986, available here.