TVI/TMP-TA4: Condensed Matter Many Body Physics and Field Theory II – Overview

IMPORTANT: due to the current COVID-19 situation the lectures and tutorials will be held online via zoom (a transition to classroom teaching may occur at a later time during the semester). It is mandatory to register for this course via LSF! The zoom link und further details on the course will be emailed to registered participants via LSF at the start of the semester.

Lectures: (start on 2.11.2020)

Monday 14:15 - 15:45 in room A348 (Theresienstr.)
Tuesday 12:15 - 13:45 in room B139 (Theresienstr.)

Tutorials:

Tuesday 16:15 - 17:45 in room A450 (Theresienstr.)

Prerequisites:

Quantum Mechanics, Statistical Physics, Solid State Theory, Condensed Matter Many-Body Physics and Field Theory I (aka. "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:

9 ECTS, details on the exam will be announced at a later time