  In this study, the Optical conductivity of substitutionary doped graphene is
investigated in presence of the Rashba spin orbit coupling (RSOC). Calculations
have been performed within the coherent potential approximation (CPA) beyond
the Dirac cone approximation. Results of the current study demonstrate that the
optical conductivity is increased by increasing the RSOC strength. Meanwhile it
was observed that the anisotropy of the band energy results in a considerable
anisotropic optical conductivity (AOC) in monolayer graphene. The sign and
magnitude of this anisotropic conductivity was shown to be controlled by the
external field frequency. It was also shown that the Rashba interaction results
in electron-hole asymmetry in monolayer graphene.
