Exchange and correlation energies in silicene illuminated by circularly polarized light

Both the exchange and correlation energies due to Coulomb and spin-orbit interactions in a monolayer silicene with a buckled honeycomb lattice are calculated. We use Lindhard formalism for the polarizability. Many-body effects in such Dirac-like materials are studied with an emphasis on the influence of on-site potential difference Delta(z) between two sublattices. Our calculations have shown that the presence of an energy bandgap Delta(sigma,xi) = vertical bar sigma xi Delta(SO) - Delta(z)vertical bar leads to a reduced exchange energy, which has some potential applications, such as, tunability of entanglement of electrons for quantum information devices. Since silicene acquires two energy gaps associated with up- and down-pseudospin, we can adjust its electronic properties in a wider range by varying these two bandgaps as compared to graphene. Another way to tune silicene electronic properties is through impurity doping. Our numerical results demonstrate the dependence of exchange and correlation energies on the energy bandgaps, doping and temperature under circularly polarized light.