4024111 – Condensed Matter Theory II: Many-Body Theory

ILIAS page for the exercises: https://ilias.studium.kit.edu/goto.php/crs/2902766

Lectures (Language: English)
Tuesday: 09:45-11:15, 30.22 Physik-Hörsaal Nr. 3 (Kl. HS A), from 21.04 to 28.07.
Thursday: 14:00-15:30, 30.22 Otto-Lehmann-Hörsaal, from 23.04 to 30.07.

In the oral exam, the TKM2 course must be combined with 8 or 12 points from TKM1 for Major in Physics (Maj);
For Second Major in Physics (Maj2) and Minor in Physics (Min), TKM2 can be combined with any other course (see Modulhandbuch)

Content

1. Introduction
2. Green's functions for noninteracting particles
3. Many-body Green's functions at zero temperature. Diagrammatic technique for interacting particles. Fermi-liquid theory. Collective excitations
4. Green's functions and diagrammatic technique at finite temperatures (Matsubara technique)
5. Functional integral formalism
6. Superconducting systems
7. Interacting many-body systems in one dimension: Bosonization, Luttinger liquid
8. Quantum transport in disordered systems
9. Magnetic impurities and Kondo effect
10. Non-equilibrium systems. Keldysh technique, quantum kinetic equation

Literature

• A.A. Abrikosov, L.P. Gor’kov, I.E. Dzyaloshinskii, Methods of QFT in statistical physics
• E.M. Lifshitz, L.P. Pitaevskii, Statistical Physics, Part 2 [L.D. Landau, E.M. Lifshitz, Course of Theoretical Physics, vol. 9 ]
• G.D. Mahan, Many-particle physics
• J.W. Negele, H. Orland, Quantum many-particle systems
• P. M. Chaikin, T. C. Lubensky, Principles of Condensed Matter Physics
• E. Fradkin, Field Theories of Condensed Matter Physics
• A. Altland, B. Simons, Condensed matter field theory
• H. Bruus, K. Flensberg, Many-body quantum theory in condensed matter physics
• P. Coleman, Introduction to Many-Body Physics
• S. M. Girvin, Kun Yang, Modern Condensed Matter Physics
• G. Giuliani, G. Vignale, Quantum Theory of the Electron Liquid
• J.R. Schrieffer, Theory of superconductivity
• A. Kamenev, Field theory of non-equilibrium systems
• T. Giamarchi, Quantum physics in one dimension

Igor Gornyi, Ihor Poboiko

4

21. Apr 2026

30. Jul 2026

Vorlesung

Di 30.22 Physik-Hörsaal Nr. 3 (Kl. HS A), vom 21.04 bis 28.07. Do 30.22 Otto-Lehmann-Hörsaal, vom 23.04 bis 30.07.

Di 09:45-11:15, Do 14:00-15:30

Englisch

All rights reserved

Prof. Dr. Igor Gornyi

igor.gornyi@kit.edu

18. Mär 2026, 17:00 - 31. Jul 2026, 23:00

Sie können diesem Kurs direkt beitreten.

Bis: 30. Apr 2026, 23:00

1. Mai 2026

20. Apr 2026 - 30. Jul 2026

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Matrikelnummer

3824697