Course content

The course is given next time autumn 2025. Fundamental concepts in, and examples of, phase transitions. Properties near critical points. Universality classes. Scaling and the scaling laws. Overview of simple models. Introduction to renormalization group theory and the Kadanoff-picture. The Wilson picture and renormalization group theory. Direct space and k-space renormalization. Topological phase transitions. The superfluid phase transition. Elitzur's theorem and the superconductor-normal metal phase transition.

Learning outcome

The student is expected to obtain considerable insight into various types of phase transitions, and how these can be described theoretically in different ways, e.g., using renormalization group theory. The course is well suited for master students who want an introduction to advanced statistical physics.

Learning methods and activities

Lectures. Voluntary calculation exercises. When lectures and lecture material are in English, the exam will usually be given in English only. Expected workload in the course is 225 hours.

Further on evaluation

If there is a re-sit examination, the examination form may be changed to oral.

Recommended previous knowledge

The student is expected to have completed introductory courses in thermodynamics and statistical mechanics. The course is technically demanding, requiring good mathematical skills. Exercises form an essential part of the course work.

Course materials

Will be decided at the start of the course.

Credit reductions