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Colloquium: Crystalline symmetry protected topological insulators

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Chaoxing Liu, The Pennsylvania State University
26 October 2017 from 4:00 PM to 5:00 PM
117 Osmond Laboratory
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The interplay between symmetry and topology has led to the discovery of various new topological phases in the recent development of condensed matter physics. In this talk, I will discuss a class of topological insulating systems that are protected by certain types of crystalline symmetry and thus dubbed “topological crystalline insulators”. I will first show how topological structure can emerge in the momentum space for electronic band structures and how such topological structure can result in unusual boundary modes at the edge or surface in a finite sample. Then I will discuss how symmetry can enrich the topological structure of electronic bands. Based on this idea, I will show our recent work on a new class of topological insulating phase which results from a special type of crystalline symmetry, called the glide symmetry, which is a symmetry operator combining mirror and half unit-cell translation. Such topological phase is called “topological glide insulator”. The potential material realization of this new topological phase, both in electronic systems and photonic systems, will also be discussed.