Second-order nonlinear optical response of graphene
arXiv:1609.02073 · doi:10.1103/PhysRevB.94.195442
Abstract
Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present a rigorous quantum-mechanical theory of the second-order nonlinear response of graphene beyond the electric dipole approximation, which includes both intraband and interband transitions. The resulting nonlinear susceptibility tensor satisfies all symmetry and permutation properties, and can be applied to all three-wave mixing processes. We obtain useful analytic expressions in the limit of a degenerate electron distribution, which reveal quite strong second-order nonlinearity at long wavelengths, Fermi-edge resonances, and unusual polarization properties.
arXiv commentThe new version makes the bold font vector notation uniform throughout the paper and corrects a misprint in Eq. (34): replaces v_F^2 with v_F^3 in the common factor
References in corpus (16)
- Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
- Strong nonlinear optical response of graphene flakes measured by four-wave mixing
- Space-time dispersion of graphene conductivity
- Regenerative oscillation and four-wave mixing in graphene optoelectronics
- Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
- High frequency electric field induced nonlinear effects in graphene (review)
- Third harmonic generation in graphene and few-layer graphite films
- Optical Third-Harmonic Generation in Graphene
- All-Optical Generation of Surface Plasmons in Graphene
- Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems
- Efficient nonlinear generation of THz plasmons in graphene and topological insulators
- Second harmonic generation in multilayer graphene induced by direct electric current
- Second Harmonic Generation in Graphene
- Creation of particle-hole superposition states in graphene at multiphoton resonant excitation by laser radiation
- Laser-driven parametric instability and generation of entangled photon-plasmon states in graphene and topological insulators
- Strong magneto-optical effects due to surface states in three-dimensional topological insulators
Cited by in corpus (34)
- Gate tunable third-order nonlinear optical response of massless Dirac fermions in graphene
- Macroscopic QED for quantum nanophotonics: Emitter-centered modes as a minimal basis for multi-emitter problems
- Doping Induced Second Harmonic Generation in Centrosymmetric Graphene from Quadrupole Response
- Linear and nonlinear optical response of crystals using length and velocity gauges: Effect of basis truncation
- Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
- Resonant photovoltaic effect in doped magnetic semiconductors
- Universal linear and nonlinear electrodynamics of the Dirac fluid
- Nonperturbative quasi-classical theory of the nonlinear electrodynamic response of graphene
- Inverse Faraday effect in graphene and Weyl semimetals
- Second harmonic generation in graphene dressed by a strong terahertz field
- Theory of the strongly nonlinear electrodynamic response of graphene: A hot electron model
- Pseudo-Euler equations from nonlinear optics: plasmon-assisted photodetection beyond hydrodynamics
- Recent advances in terahertz photonic technologies based on graphene and their applications
- Optical Kerr Effect in Graphene: Theoretical Analysis of the Optical Heterodyne Detection Technique
- Third harmonic generation from graphene lying on different substrates: Optical-phonon resonances and interference effects
- Third-order optical conductivity of an electron fluid
- Nonlinear optics of graphene and other 2D materials in layered structures
- Intrinsic Contribution to Non-linear Thermoelectric Effect
- Nonlinear response of biased bilayer graphene at terahertz frequencies
- Graphene as a source of entangled plasmons
- Four-wave mixing in Weyl semimetals
- Nonlinear magneto-optic effects in doped graphene and gapped graphene: a perturbative treatment
- Difference frequency generation of surface plasmon-polaritons in Landau quantized graphene
- Second harmonic generation at the edge of a two-dimensional electron gas
- Quasiclassical nonlinear plasmon resonance in graphene
- Polarized light emission from graphene induced by terahertz pulses
- Equations of macroscopic electrodynamics for two-dimensional crystals
- Microscopic quantum description of second-order nonlinearities in 2D hexagonal nanostructures beyond the Dirac cone approximation
- Nonperturbative quasiclassical theory of graphene photoconductivity
- Relaxation operator for quasiparticles in a solid
- Photon absorption in twisted bilayer graphene
- Plasmon polariton assisted second-harmonic generation in graphene
- Magnetic dipole absorption of light at intersubband transitions in quantum wells
- Observation of Structure Evolution and Reaction Intermediates at the Gate-tunable Suspended Graphene/Electrolyte Interface