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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
Dates Wed, 10:00–12:00, PH 3344
Mon, 10:00–12:00, PH 3344

Assignment to Modules

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

Equivalent Courses (e. g. in other semesters)

SS 2019 Topology and New Kinds of Order in Condensed Matter Physics Pollmann, F.
SS 2017 Topology and new kinds of order in condensed matter physics Wed, 10:00–12:00, PH 3344
Mon, 10:00–12:00, PH 3344
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