Multiphoton cross sections of conductive electrons stimulated bremsstrahlung in doped bilayer graphene

The quantum theory of multiphoton stimulated bremsstrahlung of charged carriers on an arbitrary electrostatic potential of impurity ion in doped bilayer graphene at the presence of coherent electromagnetic radiation is developed. A terahertz wave field is considered exactly, while the electrostatic potential of doped ions as a perturbation. The essentially nonlinear response of bilayer graphene to a pump wave and significant differences from the case of a single layer graphene are shown, which can be associated to nonlinear parabolic dispersion. The latter opens new way to manipulate with the electronic transport properties of conductive electrons of bilayer graphene by coherent radiation field of terahertz or near-infrared frequencies.