  Scattering dynamics influence the graphenes transport properties and inhibits
the charge carrier deterministic behaviour. The intra or inter-band scattering
mechanisms are vital for graphenes optical conductivity response under specific
considerations of doping. Here, we investigated the influence of scattering
systematically on optical conductivity using a semi-classical multiband
Boltzmann equation with inclusion of both electron-electron $\&$
electron-phonon collisions. We found unconventional characteristics of linear
optical response with a significant deviation from the universal conductivity
$\frac{e^2}{4\hbar}$ in doped monolayer graphene. This is explained through
phenomenological relaxation rates under low doping regime with dominant
intraband scattering. Such novel optical responses are vanished at high
temperatures or overdoping conditions due to strong Drude behaviour. With the
aid of approximations around Dirac points we have developed analytical
formalism for many body interactions and is in good agreement with the Kubo
approaches.
