TY - JOUR AU - Tao Jiang AU - Vasily Kravtsov AU - Mikhail Tokman AU - Alexey Belyanin AU - Markus Raschke AB - With its linear energy dispersion and large transition dipole matrix element, graphene is an attractive material for nonlinear optoelectronic applications. However, the mechanistic origin of its strong nonlinear response, the ultrafast coherent dynamics and the associated nanoscale phenomena have remained elusive due to a lack of suitable experimental techniques. Here, using adiabatic nanofocusing and imaging, we study the broadband four-wave mixing (FWM) response of graphene with nanometre and femtosecond spatio-temporal resolution. We detect a nonlinear signal enhancement at the edges and dependence on the number of layers from excitation areas as small as 104\ carbon atoms. Femtosecond FWM nanoimaging and concomitant frequency-domain measurements reveal dephasing on\ T2 ≈ 6 \textpm 1 fs timescales, which we attribute to a strong electron\textendashelectron interaction. We also identify an unusual non-local FWM response on ~100\textendash400 nm length scales, which we assign to a Doppler effect controlling the nonlinear interaction between the tip near-field momenta and the graphene electrons with high Fermi velocity. These results illustrate the distinct nonlinear nanooptical properties of graphene, expected also in related classes of two-dimensional materials, that could form the basis for improved nonlinear and ultrafast nanophotonic devices. BT - Nature Nanotechnology DA - 2019-08 DO - 10.1038/s41565-019-0515-x N2 - With its linear energy dispersion and large transition dipole matrix element, graphene is an attractive material for nonlinear optoelectronic applications. However, the mechanistic origin of its strong nonlinear response, the ultrafast coherent dynamics and the associated nanoscale phenomena have remained elusive due to a lack of suitable experimental techniques. Here, using adiabatic nanofocusing and imaging, we study the broadband four-wave mixing (FWM) response of graphene with nanometre and femtosecond spatio-temporal resolution. We detect a nonlinear signal enhancement at the edges and dependence on the number of layers from excitation areas as small as 104\ carbon atoms. Femtosecond FWM nanoimaging and concomitant frequency-domain measurements reveal dephasing on\ T2 ≈ 6 \textpm 1 fs timescales, which we attribute to a strong electron\textendashelectron interaction. We also identify an unusual non-local FWM response on ~100\textendash400 nm length scales, which we assign to a Doppler effect controlling the nonlinear interaction between the tip near-field momenta and the graphene electrons with high Fermi velocity. These results illustrate the distinct nonlinear nanooptical properties of graphene, expected also in related classes of two-dimensional materials, that could form the basis for improved nonlinear and ultrafast nanophotonic devices. PY - 2019 EP - 838–843 T2 - Nature Nanotechnology TI - Ultrafast coherent nonlinear nanooptics and nanoimaging of graphene UR - https://www.nature.com/articles/s41565-019-0515-x$\#$Abs1 VL - 14 SN - 1748-3387 ER -