2019
DOI: 10.1038/s41565-019-0515-x
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Ultrafast coherent nonlinear nanooptics and nanoimaging of graphene

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Cited by 100 publications
(71 citation statements)
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“…The strong intrinsic field enhancement provided by the long‐lived and electrically tunable plasmons of monolayer graphene (cf. Section ) has naturally launched explorations of its ability to enhance nonlinear optical phenomena, stimulating fertile research efforts in nonlinear graphene plasmonics . Fortuitously, the unique linear electronic dispersion relation of graphene, giving rise to its universal 2.3% broadband light absorption and facile electrical tunability, also endows this 2D material with an intrinsically anharmonic response to external electromagnetic fields: low‐energy charge carriers within a single Dirac cone have energies ε k = ℏ v F | k |, where k is the electron wavevector and v F ≈ c /300 is the Fermi velocity, endowing them with a velocity of fixed magnitude that instantaneously changes sign when crossing the Dirac point; an applied ac electric field E ( t ) = E 0 cos( ωt ) thus leads to a square‐wave surface current density J ( t ) = − env F sign{sin ( ωt )} in the E 0 → ∞ limit that is weighted by the charge carrier density n and contains significant contributions from all odd harmonics in its Fourier decomposition (see Figure a) .…”
Section: Nonlinear Graphene Plasmonicsmentioning
confidence: 99%
“…The strong intrinsic field enhancement provided by the long‐lived and electrically tunable plasmons of monolayer graphene (cf. Section ) has naturally launched explorations of its ability to enhance nonlinear optical phenomena, stimulating fertile research efforts in nonlinear graphene plasmonics . Fortuitously, the unique linear electronic dispersion relation of graphene, giving rise to its universal 2.3% broadband light absorption and facile electrical tunability, also endows this 2D material with an intrinsically anharmonic response to external electromagnetic fields: low‐energy charge carriers within a single Dirac cone have energies ε k = ℏ v F | k |, where k is the electron wavevector and v F ≈ c /300 is the Fermi velocity, endowing them with a velocity of fixed magnitude that instantaneously changes sign when crossing the Dirac point; an applied ac electric field E ( t ) = E 0 cos( ωt ) thus leads to a square‐wave surface current density J ( t ) = − env F sign{sin ( ωt )} in the E 0 → ∞ limit that is weighted by the charge carrier density n and contains significant contributions from all odd harmonics in its Fourier decomposition (see Figure a) .…”
Section: Nonlinear Graphene Plasmonicsmentioning
confidence: 99%
“…Strong near-field enhancement at the tip apex may overcompensate the decrease in the volume of the material where light-matter interaction occurs [16,17]. This technique can provide information about surface states and carrier dynamics with about 10 nm spatial and 1 fs time resolution [17]. Even more importantly in the context of this paper, nanoscale concentration of the incident light at the tip apex relaxes the optical selection and momentum matching rules.…”
mentioning
confidence: 99%
“…Following the perturbation method detailed in [23], we use the Maxwell's equation The numerical values for the SP Poynting flux density in the plots were calculated at a distance of 250 µm from the tip and assuming that the excitation is created by the pump field of magnitude 10 6 V/cm localized within (10 nm) 3 . Such fields are far below damage threshold; for example, in experiments reported in [17] the pump field under the tip was estimated at 5 × 10 7 V/cm. Only 1/r divergence of the in-plane Poynting vector was included.…”
mentioning
confidence: 99%
“…This effect has been recently shown using large field gradients from tapered nanostructures [2,3]. Now Jiang et al have been able to enhance the third-order optical response in one to a few layers graphene using nanoscopic nonlinear near-field excitation [4]. The enhancement is a combination of the large momentum available in the plasmonic near-field and a Doppler shift broadening.…”
mentioning
confidence: 96%