Selected Topics in Modern Condensed-Matter Theory
Prof. Johann Kroha
Schedule: Wednesdays 14, Fridays 12-14
Room: ATTENTION! The NEW ROOM is Seminarraum 1, BCTP @ Wegelerstr. 10, 2. floor
(HS I @ PI is currently under construction)
Note: The topics of this course are coordinated such that it can be taken in parallel to physics617 (Theoretical Condensed Matter Physics).
Prerequisites: Quantum mechanics I, e.g. physik420
Statistical Physics, e.g. physik521
Over the past few years, research in condensed matter physics has witnessed several novel developments, which are revolutionizing our understanding of many-body systems. Among those developments are
- the simulation of many-body problems in ultracold atomic-gas systems;
- quantum phase transitions as a means for realizing exotic states of matter;
- topological aspects of Hilbert spaces.
The course will discuss these developments and provide some of the necessary theoretical techniques.
Specific topics are:
- Feynman diagram technique;
- the method of slave fields for strong interactions;
- phase transitions, critical phenomena, renormalization group method;
- topological structure of the Hilbert space and consequences for the properties condensed-matter systems. Topological insulators.
- R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem.
- N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group.
- B. A. Bernevig, Topological Insulators and Topological Superconductors.
The exam will take place on Friday, February 10, 2017, 12:00.