Fakultät für Physik
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TVI/TMP-TA4: Condensed Matter Field Theory – Overview

Lecturer

Tutor

Details

Lectures: Tuesdays and Thursdays 08:30 - 10:00 in room B101
Tutorials: Tuesdays 16:00 - 18:00 in room A027 (new time and venue starting from 29.11.)

Prerequisites: Quantum Mechanics, Statistical Physics, Solid State Theory, Many-Body Physics

In this course we discuss different types of field theories that arise in condensed matter systems and introduce powerful methods to study them. A basic knowledge of many-body theory (2nd quantization, functional integrals, Green's functions) is required to follow the course.

Topics:

  1. Introduction
    (basics, review of functional integral formulation of QFT)
  2. Renormalization group
    (scaling, perturbative renormalization, functional RG, Kondo effect, superfluid-Mott transition in the Bose-Hubbard model, Fermi liquid theory)
  3. Quantum Hall effect
    (integer and fractional quantum Hall effect, Laughlin wavefunctions, Chern-Simons field theory)
  4. Non-equilibrium systems
    (Keldysh contour, kinetic equation)

Useful Literature:

A. Altland, B. Simons: "Condensed Matter Field Theory"
J. Cardy: "Scaling and Renormalization in Statistical Physics"
E. Fradkin: "Field Theories of Condensed Matter Physics"
A. Kamenev: "Field Theory of Non-Equilibrium Systems"

additional literature on special topics will be announced in the lecture

Credits/Exam:

Please send an email to Prof. Punk to make an appointment for the oral exam

Office Hours:

Tuesday, 12:00-14:00