Spin-Valley Optical Selection Rule and Strong Circular Dichroism in Silicene

Silicene (a monolayer of silicon atoms) is a topological insulator, which undergoes a topological phase transition to a band insulator under an external electric field. The spin polarization is unique and opposite at the K and K’ points due to the spin-orbit coupling. Accordingly, silicene exhibits a strong circular dichroism with respect to optical absorption, obeying a certain spin-valley selection rule. It is remarkable that this selection rule is drastically different between these two types of insulators owing to a band inversion taking place at the phase transition point. Hence we can tell experimentally whether silicene is in the topological or band insulator phase by circular dichroism. Furthermore the selection rule enables us to excite electrons with definite spin and valley indices by optical absorption. Photo-induced current is spin polarized, where the spin direction is different between the topological and band insulators. It is useful for future spintronics applications.