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Tuesday, February 2nd 2016

4:30 pm:

In this talk I will review the basic classification of topological insulators in non-interacting fermionic systems. All systems can be classified according to their behavior under the action of three discrete symmetries: time-reversal, particle-hole and sublattice symmetry. I will show how to classify a system from the behavior near a critical point. This symmetry classification relates to the presence of different topological phases, which is summarized in the periodic table of topological insulators. For this talk I will mostly follow Andreas Schnyder’s lecture slides at the Summer School in Nancy [2].

[1] S. Ryu, A. Schnyder, A. Furusaki, and A. Ludwig: “Topological insulators and superconductors: tenfold way and dimensional hierarchy”, New. J. Phys. 12, 065010 (2010)

[2] A. Schnyder: Lectures on "Topological aspects in condensed matter physics" held at the Topical School in Theoretical Physics Nancy (2014), lecture slides are on his homepage at http://www.fkf.mpg.de/556169/20_Schnyder

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