Colloquium: Tuesday, December 14, 2021. Speaker: Jacob Shapiro (Princeton). Title: “Strongly-Disordered Topological Insulators”.
The next colloquium for this semester will be held ONLINE on 14.12.2021 at 14:00 (Tuesday).
Speaker: Jacob Shapiro (Princeton)
Date: Tuesday, December 14, 2021
Title: Strongly-Disordered Topological Insulators
Abstract: Topological insulators are novel materials which insulate in their bulk, yet, along their boundary are excellent conductors. Their exotic properties are explored by identifying the topological space of quantum mechanical Hamiltonians and calculating its set of path-connected components, which in interesting cases, has more than one component. The components induce a topological invariant which corresponds to an experimentally measurable physical quantity. I will focus on such systems in the regime of strong disorder, which is of particular physical relevance, and leads to rich problems in analysis and probability.