Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems

Abstract

An analytical theory of the nonlinear electromagnetic response of a two-dimensional (2D) electron system in the second order in the electric field amplitude is developed. The second-order polarizability and the intensity of the second harmonic signal are calculated within the self-consistent-field approach both for semiconductor 2D electron systems and for graphene. The second harmonic generation in graphene is shown to be about two orders of magnitude stronger than in GaAs quantum wells at typical experimental parameters. Under the conditions of the 2D plasmon resonance the second harmonic radiation intensity is further increased by several orders of magnitude.

9 pages, 2 figures

References in corpus (15)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Graphene Photonics and Optoelectronics
• Dielectric function, screening, and plasmons in 2D graphene
• Dynamical polarization of graphene at finite doping
• Strong nonlinear optical response of graphene flakes measured by four-wave mixing
• Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
• Non-linear electromagnetic response of graphene
• The Role of Electron-electron Interactions in Graphene ARPES Spectra
• Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
• Dielectric function and plasmons in graphene
• Second Harmonic Generation in Graphene
• Ab Initio Second-Order Nonlinear Optics in Solids: Second-Harmonic Generation Spectroscopy from Time-Dependent Density-Functional Theory
• Dynamical polarization of graphene under strain

Cited by in corpus (73)

• Graphene Plasmonics: Challenges and Opportunities
• High frequency electric field induced nonlinear effects in graphene (review)
• Third harmonic generation in graphene and few-layer graphite films
• Broadband, electrically tuneable, third harmonic generation in graphene
• Optical Third-Harmonic Generation in Graphene
• All-Optical Generation of Surface Plasmons in Graphene
• Quantum theory of the third-order nonlinear electrodynamic effects in graphene
• Third order nonlinearity of graphene: effects of phenomenological relaxation and finite temperature
• Single-photon nonlinear optics with graphene plasmons
• Extraordinary nonlinear plasmonics in graphene nanoislands
• Efficient nonlinear generation of THz plasmons in graphene and topological insulators
• Giant enhancement of third-harmonic generation in graphene-metal heterostructures
• Quantum Effects in the Nonlinear Response of Graphene Plasmons
• Molecular Sensing with Tunable Graphene Plasmons
• Quantum geometry induced second harmonic generation
• Creation of particle-hole superposition states in graphene at multiphoton resonant excitation by laser radiation
• Tunable nonlinear graphene metasurfaces
• Second-order nonlinear optical response of graphene
• Plasmon-enhanced nonlinear wave mixing in nanostructured graphene
• Roadmap for Photonics with 2D Materials
• Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
• Quantum Theory of the Third-Harmonic Generation in Graphene
• Theory of plasmonic effects in nonlinear optics: the case of graphene
• Giant Plasmon Instability in Dual-Grating-Gate Graphene Field-Effect Transistor
• Second-order quantum nonlinear optical processes in single graphene nanostructures and arrays
• Universal linear and nonlinear electrodynamics of the Dirac fluid
• Numerical study of the optical nonlinearity of doped and gapped graphene: From weak to strong field excitation
• Impact of electron-electron Coulomb interaction on the high harmonic generation process in graphene
• Probing of valley polarization in graphene via optical second-harmonic generation
• Nonperturbative quasi-classical theory of the nonlinear electrodynamic response of graphene
• Graphene in periodic deformation fields: dielectric screening and plasmons
• Nonlinear light mixing by graphene plasmons
• Resonance-type thickness dependence of optical second harmonic generation in thin-films of the topological insulator Bi2Se3
• Second harmonic generation in graphene dressed by a strong terahertz field
• Theory of the strongly nonlinear electrodynamic response of graphene: A hot electron model
• Laser-driven parametric instability and generation of entangled photon-plasmon states in graphene and topological insulators
• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• First-principles study of ultrafast and nonlinear optical properties of graphite thin films
• Tunable and Dual-broadband Giant Enhancement of SHG and THG in a Highly-engineered Graphene-Insulator-Graphene Metasurface
• Second-harmonic generation in subwavelength graphene waveguides
• Pseudo-Euler equations from nonlinear optics: plasmon-assisted photodetection beyond hydrodynamics
• 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
• Computational Analysis of Dispersive and Nonlinear 2D Materials by Using a Novel GS-FDTD Method
• Nonlinear electromagnetic response of a uniform electron gas
• Cyclotron resonance of the magnetic ratchet effect and second harmonic generation in bilayer graphene
• Unravelling the nonlinear ideal density response of many-body systems
• Negative dynamic conductivity of a current driven array of graphene nanoribbons
• Cascaded third harmonic generation in hybrid graphene-semiconductor waveguides
• Influence of optical nonlinearities on plasma waves in graphene
• Probing graphene χ(2) using a gold photon sieve
• Graphene as a source of entangled plasmons
• Electron correlation effects and two-photon absorption in diamond shaped graphene quantum dots
• Tunable plasmon-enhanced second-order optical nonlinearity in transition metal dichalcogenide nanotriangles
• Controlling surface charge and spin density oscillations by Dirac plasmon interaction in thin topological insulators
• Microwave-induced zero-resistance" states and second-harmonic generation in an ultraclean two-dimensional electron gas
• Nonlinear response in a non-centrosymmetric topological insulator
• On the extreme nonlinear optics of graphene nanoribbons in the strong coherent radiation fields
• Difference frequency generation of surface plasmon-polaritons in Landau quantized graphene
• Second harmonic generation due to spatial structure of radiation beam
• Enhanced ponderomotive force in graphene due to interband resonance
• Second harmonic generation at the edge of a two-dimensional electron gas
• Stimulated plasmon polariton scattering
• Application of Madelung Hydrodynamics to Plasmonics and Nonlinear Optics in Two-Dimensional Materials
• Third harmonic generation of undoped graphene in Hartree-Fock approximation
• Microscopic quantum description of second-order nonlinearities in 2D hexagonal nanostructures beyond the Dirac cone approximation
• Large photon drag effect of intrinsic graphene induced by plasmonic evanescent field
• Nonperturbative quasiclassical theory of graphene photoconductivity
• Gate-Tunable Optical Extinction of Graphene Nanoribbon Nanoclusters
• Generalized density functional theory framework for the non-linear density response of quantum many-body systems
• Plasmonic drag photocurrent in graphene at extreme nonlocality
• Interlayer exciton mediated second harmonic generation in bilayer MoS2