Nonlinear optical response in gapped graphene

Abstract

We present a formulation for the nonlinear optical response in gapped graphene, where the low-energy single-particle spectrum is modeled by massive Dirac theory. As a representative example of the formulation presented here, we obtain closed form formula for the third harmonic generation (THG) in gapped graphene. It turns out that the covariant form of the low-energy theory gives rise to a peculiar logarithmic singularities in the nonlinear optical spectra. The universal functional dependence of the response function on dimension-less quantities indicates that the optical nonlinearity can be largely enhanced by tuning the gap to smaller values.

http://iopscience.iop.org/0953-8984/labtalk-article/49384

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• Quantum Theory of the Third-Harmonic Generation in Graphene
• Theory of plasmonic effects in nonlinear optics: the case of graphene
• Theory of third harmonic generation in graphene: a diagrammatic approach
• High-order harmonic generation from gapped graphene: perturbative response and transition to non-perturbative regime
• Numerical study of the optical nonlinearity of doped and gapped graphene: From weak to strong field excitation
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• Nonperturbative quasi-classical theory of the nonlinear electrodynamic response of graphene
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
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• Third order optical nonlinearity of three dimensional massless Dirac fermions
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Pseudo-Euler equations from nonlinear optics: plasmon-assisted photodetection beyond hydrodynamics
• Optical Kerr Effect in Graphene: Theoretical Analysis of the Optical Heterodyne Detection Technique
• Reflectivity properties of graphene with nonzero mass-gap parameter
• Third harmonic generation from graphene lying on different substrates: Optical-phonon resonances and interference effects
• Carrier-envelope phase effects in graphene
• Optical properties of dielectric plates coated with gapped graphene
• Nonlinear response of biased bilayer graphene at terahertz frequencies
• Carrier concentrations and optical conductivity of a band-inverted semimetal in two and three dimensions
• Nonlinear response of a ballistic graphene transistor with an ac-driven gate: high harmonic generation and THz detection
• Equations of macroscopic electrodynamics for two-dimensional crystals
• Microscopic quantum description of second-order nonlinearities in 2D hexagonal nanostructures beyond the Dirac cone approximation