0000004291 21S 4SWS VO Topology and New Kinds of Order in Condensed Matter Physics   Hilfe Logo

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Topology and New Kinds of Order in Condensed Matter Physics 
Summer semester 2021
Chair of Theoretical Solid-State Physics (Prof. Pollmann)
(Contact information)
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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
Basics in statistical physics and quantum mechanics.
This course prepares Master students to get an overview of recent developments in modern condensed matter physics with a focus on topological quantum matter.
class lecture
Für die Anmeldung zur Teilnahme müssen Sie sich in TUMonline als Studierende*r identifizieren.
* Topological Insulators and Topological Superconductors, A. Bernevig with T. Hughes
* Field Theories of Condensed Matter Physics, E. Fradkin
* Quantum Field Theory of Many-Body Systems, X.-G. Wen
* Lecture notes by John Preskill: http://www.theory.caltech.edu/~preskill/ph219/topological.pdf
* Review article by Chetan Nayak et al.: http://arxiv.org/pdf/0707.1889v2.pdf
Online information
e-learning course (moodle)