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The higher order harmonic generation process in the nonperturbative regime atthe interaction of coherent electromagnetic radiation with the AB-stackedbilayer graphene at high Fermi energies is considered. The applied coherentlow-frequency radiation field in the high Fermi energy zone of electronsexcludes the interband transitions enhancing high harmonic rates. The developedmicroscopic nonlinear quantum theory for charged carriers interaction with astrong pump wave is valid near the Dirac points of the Brillouin zone. TheLiouville-von Neumann equation for the density matrix in the multiphotonexcitation regime is solved both analytically and numerically. Based on thenumerical solutions, we examine the rates of higher-order harmonics of the pumpwave of arbitrary polarization. Obtained results show that bilayer graphene canserve as an effective material for the generation of higher-order harmonicsfrom THz to the mid-IR domain of frequencies at the pump wave moderateintensities.

Induced by coherent THz-radiation high harmonics generation in bilayer graphene at high Fermi energies