Optical properties of surface states in two-dimensional topological insulators

We present a simple and tractable approach to investigate the optical properties of surface states in two-dimensional (2D) topological insulators (TIs). The analytic expression of optical conductivity of surface states in 2D TIs are obtained based on the kinetic equations. It is found that universal optical conductance can be observed in the high frequency region, which does not depend on the temperature, the chemical potential, or the bandgap of the systems. This universal optical conductance is similar to that in graphene. However, the optical absorption edge of such surface states strongly depend on the chemical potential and the bandgap of the systems. There are obvious optical absorption peaks at low temperature in the low frequency region, which are very different from that in graphene. The bandgaps in surface states can be accurately experimentally measured by the optical absorption edges or the peaks. We expect that our theoretical results offer transparent understandings for the experimental results and applications of 2D TIs.