Topology and new kinds of order in condensed matter physics
Course 0000004291 in SS 2018
General Data
| Course Type | lecture |
|---|---|
| Semester Weekly Hours | 4 SWS |
| Organisational Unit | Theoretical Solid-State Physics |
| Lecturers |
Frank Pollmann |
| Dates |
Mon, 10:00–12:00, PH 3344 Wed, 10:00–12:00, PH 3344 |
Assignment to Modules
-
PH2246: Topologie und neue Arten der Ordnung in der Physik der kondensierten Materie / Topology and New Kinds of Order in Condensed Matter Physics
This module is included in the following catalogs:- Specific catalogue of special courses for condensed matter physics
- Focus Area Theoretical Quantum Science & Technology in M.Sc. Quantum Science & Technology
- Complementary catalogue of special courses for nuclear, particle, and astrophysics
- Complementary catalogue of special courses for Biophysics
- Complementary catalogue of special courses for Applied and Engineering Physics
- Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
Further Information
Courses are together with exams the building blocks for modules. Please keep in mind that information on the contents, learning outcomes and, especially examination conditions are given on the module level only – see section "Assignment to Modules" above.
| additional remarks | With the discovery of the integer and fractional quantum Hall effect in the 1980s, it was realized that not all phases of matter occurring in nature can be understood using Landau’s theory. The quantum Hall state represents a distinct phase of matter which can occur even when there is no local order parameter or spontaneous breaking of a global symmetry. Phases of this new kind are now usually referred to as topological phases. This lecture course gives an introduction to different theoretical aspects of topological phases and their experimental signatures. The following topics are covered in the course: * Kosterlitz–Thouless transition * Graphene, Dirac Hamiltonian and Chern insulators * Topological insulators in 2D and 3D * Weyl semi-metals * Symmetry protected topological phases * Topological superconductors and Majorana chains * Spin liquids and frustrated magnetism * Axiomatic description of topological order * Exactly solvable models: toric code and string net models * Topological quantum computing |
|---|---|
| Links | TUMonline entry |