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Nov 27 2023

Analysis and Applied Mathematics Seminar: Topological Anderson insulator by mathematical homogenization, by Thuyen Dang

November 27, 2023

4:00 PM - 4:50 PM


636 SEO


Chicago, IL

Thuyen Dang (University of Chicago): Topological Anderson insulator by mathematical homogenization

Topological insulators are materials that are insulating on the inside but are (electrically) conductive on their surface or edge. The conducting states are protected: in the presence of a defect, the transport on the edge is barely affected. This edge behavior is characterized by topological invariants of its quantization. It is known in the physics community that topological Anderson insulators (TAI) can be created by applying a disorder potential to the matter. The potential generates the phase transition of the matter that opens a spectral gap, which is the hallmark of topological insulators. In two dimensional, the TAI model can be recast as a Dirac equation. In this talk, we will discuss the formation of TAI from a mathematical homogenization point of view, and the connection between the microscopic and macroscopic Dirac operators. This is a joint work with Guillaume Bal.

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Liet Vo

Date posted

Sep 21, 2023

Date updated

Sep 21, 2023


Thuyen Dang | (University of Chicago)