Numerical study of the optical nonlinearity of doped and gapped graphene: From weak to strong field excitation

Abstract

Numerically solving the semiconductor Bloch equations within a phenomenological relaxation time approximation, we extract both the linear and nonlinear optical conductivities of doped graphene and gapped graphene under excitation by a laser pulse. We discuss in detail the dependence of second harmonic generation, third harmonic generation, and the Kerr effects on the doping level, the gap, and the electric field amplitude. The numerical results for weak electric fields agree with those calculated from available analytic perturbation formulas. For strong electric fields when saturation effects are important, all the effective third order nonlinear response coefficients show a strong field dependence.

12 pages with 9 figures

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Cited by in corpus (27)

• Quantum theory of the third-order nonlinear electrodynamic effects in graphene
• Theory of graphene saturable absorption
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• Negative Kerr nonlinearity of graphene as seen via chirped-pulse-pumped self-phase modulation
• Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
• Nonlinear response of metallic acGNR to an elliptically-polarized terahertz excitation field
• High-order harmonic generation from gapped graphene: perturbative response and transition to non-perturbative regime
• Theory of the strongly nonlinear electrodynamic response of graphene: A hot electron model
• Experimental Characterization of Ultrafast, Tunable and Broadband Optical Kerr Nonlinearity in Graphene
• Third order optical nonlinearity of three dimensional massless Dirac fermions
• Intraband divergences in third order optical response of 2D systems
• Nonlinear optics of graphene and other 2D materials in layered structures
• Nonlinear optical conductivity of a generic two band systems, with application to doped and gapped graphene
• Nonlinear response of biased bilayer graphene at terahertz frequencies
• Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
• First-principles study of the terahertz third-order nonlinear response of metallic armchair graphene nanoribbons
• Nonlinear magneto-optic effects in doped graphene and gapped graphene: a perturbative treatment
• Third-order Optical Nonlinearity in Two-dimensional Transition Metal Dichalcogenides
• Dynamical calculation of third harmonic generation in a semiconductor quantum well
• A study of the nonlinear optical response of the plain graphene and gapped graphene monolayers beyond the Dirac approximation
• Anomalous optical saturation of low-energy Dirac states in graphene and its implication for nonlinear optics
• Enhanced second harmonic generation and photon drag effect in a doped graphene placed on a two-dimensional diffraction grating
• Third harmonic generation of undoped graphene in Hartree-Fock approximation
• Giant Enhancement of Third Harmonic Generation from Ge2Sb2Te5 based Fabry-Perot Cavity
• Large photon drag effect of intrinsic graphene induced by plasmonic evanescent field
• Non-linear photoconductivity of strongly driven graphene