Field Theory in Condensed Matter Physics

Module PH2244

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

PH2244 is a semester module in English language at Master’s level which is offered in winter semester.

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 45 h 5 CP

Responsible coordinator of the module PH2244 is Sergej Moroz.

Content, Learning Outcome and Preconditions


  • Fermi liquid theory: Fermi liquid ground state, quasiparticles and their stability, collective modes, Landau damping, non-Fermi liquids
  • Luttinger liquids: pecularities of physics in one dimension, Luttinger model, basic of bosonization, correlation functions, relation to conformal field theories and two-dimensional classical XY model
  • Superfluids and superconductors: physical properties of superfluids and superconductors, BCS theory, phase stiffness, vortices, rotating superfluids, boson-vortex duality in two dimensions, Berezinskii-Kosterlitz-Thouless transition, chiral superfluids and superconductors 
  • Quantum Hall effect: basics of quantum Hall effect, flux attachment and Chern-Simons theory, topological order and anyons in fractional quantum Hall fluids, abelian Chern-Simons theory and the hierarchy of quanum Hall states, edge of quantum Hall fluids, non-abelian quantum Hall states
  • Topological insulators: edge modes without magnetic field, two-dimensional topological insulators- Kane-Mele model, three-dimensional topological insulators and Dirac cone at the edge, Dirac fermion duality

Learning Outcome

During the course the participant will:

  • learn how to use field theory in condensed matter physics
  • be introduced to different theoretical paradigms that are central in modern condensed matter physics
  • get acquinted to physics of Fermi liquids, one-dimensonal Luttinger liquids, superfluids and superconductors, quantum Hall liquids and topological insulators. This knowledge provides a solid basis for entering the current research in quantum condensed matter physics 


No preconditions in addition to the requirements for the Master’s program in Physics.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 2 Feldtheoretische Methoden in der Physik kondensierter Materie Moroz, S. Mittwoch, 14:00–16:00

Learning and Teaching Methods

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  1. T. Giamachi, Quantum Physics in One Dimension
  2. E. Fradkin, Field Theories of Condensed Matter Physics
  3. X.-G. Wen, Quantum Field Theory of Many-Body Systems
  4. A. Altland & B. Simons, Condensed Matter Field Theory 
  5. P. Coleman, Introduction to Many-Body Physics

Module Exam

Description of exams and course work

In a written exam of 60 minutes the learning outcome is tested using comprehension questions and sample problems.

In accordance with §12 (8) APSO the exam can be done as an oral exam. In this case the time duration is 25 minutes.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.