Topological insulators are new materials with a gaped bulk and gapless edge states. They are similar to the Quantum Hall Effect but exists in the presence of the time reversal symmetry. Topological protection makes the transport in these materials robust against disorder and geometry change, leading to quantization of spin/charge conductance. We study transport in various engineered structures made of topological insulators, such as temperature dependent of conductivity in the quantum point contact.
Other direction of our work is devoted to interacting topological insulators. In particular, we study systems where repulsive electron interaction gives rise to novel topological phases.
We also study Anderson localization in the presence of topological protection. The ambitious goal is to find new phases where metal insulator transition is substantially affected by topological protection. A more applied direction of this research has to do with transport in topological material, such as graphene, Weyl semimetals and etc.