There are numerous examples of condensed matter systems with electron states that have a nontrivial topology in the Brillouin zone. This gives rise to highly unusual transport and optical response. While most studies have focused on the band structure and electron transport, the optical properties of topological materials are no less exciting. Optical spectroscopy can provide a cleaner and more straightforward way of studying the topological properties of electron states compared to transport measurements.

Alexey Belyanin,
Texas A & M University
Moreover, the unusual optical properties of these materials can be utilized in future optoelectronic devices and for emerging quantum information technologies. I will discuss several examples of topological metals, insulators, and topological 2D systems illustrating these points.
Alexey Belyanin has conducted theoretical research in high-energy astrophysics, quantum optics, and physics of semiconductors. His current research interests include nonlinear, ultrafast, and quantum optics of semiconductor nanostructures, two-dimensional materials, topological insulators and metals, and physics of the optoelectronic devices. For updated information, current research projects, and publications, see http://people.tamu.edu/~belyanin/.