Calculations of optical injection and coherent control in graphene

We calculate injection spectra for one- and two-photon absorption in graphene, as well as optically injected currents from coherent control of $1+2$ excitation. We compare \emph{ab initio} pseudopotential calculations to analytical expressions of an effective tight-binding model expanded in $\vec{k}$ about the $K$ symmetric point. We find that the spectra from full-zone band structure calculations deviate from the simple model at energies above a few hundred meV's.