The effects of impurity doping on the optical properties of biased bilayer graphene

• Theoretical calculation of optical conductivity of disordered bilayer graphene.
• The investigation of the effect of impurity concentration and scattering potential on the optical conductivity.
• The investigation of bias voltage on the optical conductivity of bilayer graphene.

We address the optical conductivity of doped AA-stacked bilayer graphene in the presence of a finite bias voltage at finite temperature. The effect of scattering by dilute charged impurities is discussed in terms of the self-consistent Born approximation. Green's function approach has been implemented to find the behavior of optical conductivity of bilayer graphene within linear response theory. We have found the frequency dependence of optical conductivity for different values of concentration and scattering strength of dopant impurity. Also the dependence of optical conductivity on the impurity concentration and bias voltage has been investigated in details. A peak appears in the plot of optical conductivity versus impurity concentration for different values of chemical potential. Furthermore we find optical conductivity reduces with frequency for any impurity concentration and scattering strength.