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Silicene is a buckled monolayer of silicon. Its electronic properties aredistinct from both the conventional two dimensional electron gas and the famousgraphene due to strong spin orbit interaction and the buckled structure.Silicene has the potential to overcome limitations encountered for graphene, inparticular the zero band gap and weak spin orbit interaction. We find forsilicene a valley polarized quantum Hall effect and topological insulator phasetransitions. We use the Kubo formalism to discuss the Hall conductivity andaddress the longitudinal conductivity for elastic impurity scattering in thefirst Born approximation. We show that the combination of an electric fieldwith intrinsic spin orbit interaction leads to quantum phase transitions at thecharge neutrality point. This provides a tool to experimentally tune thetopological state of silicene. In contrast to graphene and other conventionaltopological insulators, the effects in silicene are experimentally accessible.Therefore, silicene constitutes a model system for exploring the spin andvalley physics not accessible in graphene due to the small spin orbitinteraction.

Valley polarized quantum Hall effect and topological insulator phase transitions in silicene