Theory of the strongly nonlinear electrodynamic response of graphene: A hot electron model

Abstract

An electrodynamic response of graphene to a strong electromagnetic radiation is considered. A hot electron model (HEM) is introduced and a corresponding system of nonlinear equations is formulated. Solutions of this system are found and discussed in detail for intrinsic and doped graphene: the hot electron temperature, non-equilibrium electron and holes densities, absorption coefficient and other physical quantities are calculated as functions of the incident wave frequency $\omega$ and intensity $I$, of the equilibrium chemical potential ${\mu }_0$ and temperature $T_0$, scattering parameters, as well as of the ratio ${\tau }_{\epsilon }/{\tau }_{\mathrm{rec}}$ of the intra-band energy relaxation time ${\tau }_{\epsilon }$ to the recombination time ${\tau }_{\mathrm{rec}}$. The influence of the radiation intensity on the absorption coefficient $A$ at low ($\hslash \omega \lesssim 2|{\mu }_0|$, $dA/dI>0$) and high ($\hslash \omega \gtrsim 2|{\mu }_0|$, $dA/dI<0$) frequencies is studied. The results are shown to be in good agreement with recent experimental data.

23 pages, 13 figures

References in corpus (19)

• Charged Impurity Scattering in Graphene
• Large energy mode locking of an erbium-doped fiber laser with atomic layer graphene
• Ultrafast Photoluminescence from Graphene
• Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
• Non-linear electromagnetic response of graphene
• Third harmonic generation in graphene and few-layer graphite films
• Screening induced temperature dependent transport in 2D graphene
• Extraordinary nonlinear plasmonics in graphene nanoislands
• Optical bistability of graphene in the terahertz range
• Electrically Tunable Optical Nonlinearities in Graphene-Covered SiN Waveguides Characterized by Four-Wave Mixing
• Measuring the Nonlinear Refractive Index of Graphene using the Optical Kerr Effect Method
• Photo-excited Carrier Dynamics and Impact Excitation Cascade in Graphene
• Negative Kerr nonlinearity of graphene as seen via chirped-pulse-pumped self-phase modulation
• Second-order nonlinear optical response of graphene
• Plasmon-enhanced nonlinear wave mixing in nanostructured graphene
• Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
• Non-linear effects in the cyclotron resonance of a massless quasi-particle in graphene
• Third harmonic generation from graphene lying on different substrates: Optical-phonon resonances and interference effects
• Equations of macroscopic electrodynamics for two-dimensional crystals

Cited by in corpus (10)

• Hot carriers in graphene -- fundamentals and applications
• Giant enhancement of third-harmonic generation in graphene-metal heterostructures
• Electrically tuneable nonequilibrium optical response of graphene
• Dominant Role of Two-Photon Vertex in Nonlinear Response of Dirac Materials
• Asymmetric Si-slot Coupler with Nonreciprocal Response Based on Graphene Saturable Absorption
• Many-Body Effects in Third Harmonic Generation of Graphene
• Polarized light emission from graphene induced by terahertz pulses
• Heat capacity of nonequilibrium electron-hole plasma in graphene layers and graphene~bilayers
• Nonperturbative quasiclassical theory of graphene photoconductivity
• Non-linear photoconductivity of strongly driven graphene