Induced nonlinear cross sections of conductive electrons scattering on the charged impurities in doped graphene

Relativistic quantum theory of induced scattering of two-dimensional Dirac particles by electrostatic field of an impurity ion (in the Born approximation) in the doped graphene in the presence of an external electromagnetic (EM) radiation field (actually terahertz radiation, to exclude the valence electrons excitations at high Fermi energies) has been developed. It is shown that the strong coupling of massless quasiparticles in the quantum nanostructures to a strong EM radiation field leads to the strong nonlinear response of graphene, which opens diverse ways for manipulating the electronic transport properties of conductive electrons by coherent radiation fields.