Twists in the Tale of Topological Insulators
发布时间：2021年11月08日
浏览次数：4671
发布者: He Liu
主讲人： Guo Chuan Thiang (BICMR)
活动时间： 从 2021-11-17 15:15 到 17:00
场地： 北京国际数学研究中心，全斋全29教室
I will provide some analytic background underlying the use of modern topology to discuss phases of matter in physics (Nobel Prize 2016). It sounds impossible, but a "topological" insulator turns into a "topological metal" at its boundary, and this paradoxical behaviour survives a large variety of perturbations. Mathematically, this behaviour arises by twisting Schrodinger operators, and discovering that their spectra has "topologically-protected'' features using index theoretic methods. The geometric-analytic ingredients will be presented in the concrete case of quantum Hall systems (Nobel Prize 1985).
