"Physics of topological phases"
Lecturer: Shinsei Ryu (University of Chicago)
In these lectures, we will discuss topological phases of condensed matter -- these are the phases which go beyond the symmetry-breaking paradigm of phases of matter. Typical examples include integer and fractional quantum Hall systems, the latter of which have topological orders and support exotic excitations called anyons. More recently, topological insulators have been a topic of intense research and recognized as an example of symmetry-protected topological phases of matter. We will go through basic features of these topological phases of various kinds.
The master course students are expected to fully understand the contents at the standard level.
The students are expected to solve the standard problems provided by the lecturer.
Topological phases, quantum anomalies
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
The lecture is given in a form of intensive course in English.
June 26 (Wed) 10:00-11:30, 13:30-15:00, 15:30-17:00
June 28 (Fri) 10:00-11:30, 13:30-15:00, 15:30-17:00
July 1 (Mon) 10:00-11:30, 13:30-15:00, 15:30-17:00
W531 (Tokyo Tech Lecture Theatre)
Course schedule | Required learning | |
---|---|---|
Class 1 | Introduction, integer quantum Hall effect | The lecturer will instruct during classes. |
Class 2 | Topological invariant and effective field theories | |
Class 3 | Edge states, bulk-boundary correspondence, quantum anomalies | |
Class 4 | Fractional quantum Hall effect, Z2 gauge theory | |
Class 5 | Chern-Simons theories | |
Class 6 | Basics of topological phases of matter | |
Class 7 | Topological insulators, SSH model, Haldane phase | |
Class 8 | Bulk-boundary correspondence and quantum anomalies in SPT phases | |
Class 9 | Gauging and defects in topological phases |
None.
X-G. Wen, “Quantum Field Theory of Many-Body Systems” (Oxford 2004)
E. Fradkin, “Field Theories of Condensed Matter Physics” (Cambridge 2013)
Evaluated by questions during classes and a report related to lectures.
None.