Topology in condensed matter physics


Lecture in summer term 2016.
Schedule: Tue, 10:15 - 11:45 lecture, 12:25 - 13:55 exercise group
No lectures: May 5 2016: Christi Himmelfahrt (Ascension), May 19 2016: Pfingstferien (Pentecost)
Topics, recommandations, and literature


Exam: oral, 30 minutes. Please take care of the concrete appointments by yourselves by writing me an email.
Possible dates:
30.8. afternoon
31.8. afternoon
1.9. morning

There will be a Questions and Answers session on August 25 starting at 13:00 in seminar room 1. Please send questions in advance.


Video streaming page

toggler: ↑ less ↑

Additional material

Video lecture by John Milnor (Fields medalist, "Milnor spheres") about differential topology
Video lectures by Norman Wildberger about algebraic topology explained very intuitively
Video that the torus can be folded to a Moebius strip and corresponding Mathematica notebook

Notebook for numerically experimenting with the Kitaev chain's spectrum and topological phases

Recommended reading/references

Topology and physics - a historical essay, C. Nash
Topological Quantum Computation-From Basic Concepts to First Experiments, Stern, Ady and Lindner, Netanel H.
Seminal paper of Leinaas and Myrheim '77 describing anyons
Philosophical background on the "principle of indiscernibles"
Kitaev's periodic table of gapped, non-interacting, topological phases
Ryu, Schnyder, Furusaki, Ludwig, classification of gapped, non-interacting, topological phases
Katos seminal paper about adiabatic time evolution