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Nanoplasmonic systems combined with optically-active two-dimensionalmaterials provide intriguing opportunities to explore and control light-matterinteractions at extreme sub-wavelength lengthscales approaching the excitonBohr radius. Here, we present room- and cryogenic-temperature investigations oflight-matter interactions between an MoSe$_2$ monolayer and individuallithographically defined gold dipole nanoantennas having sub-10 nm feed gaps.By progressively tuning the nanoantenna size, their dipolar resonance is tunedrelative to the A-exciton transition in a proximal MoSe$_2$ monolayer achievinga total tuning of $\sim 130\;\mathrm{meV}$. Differential reflectancemeasurements performed on $> 100$ structures reveal an apparent avoidedcrossing between exciton and dipolar mode and an exciton-plasmon couplingconstant of $g= 55\;\mathrm{meV}$, representing $g/(\hbar\omega_X)\geq3\%$ ofthe transition energy. This places our hybrid system in theintermediate-coupling regime where spectra exhibit a characteristic Fano-likeshape, indicative of the interplay between pronounced light-matter coupling andsignificant damping. We also demonstrate active control of the optical responseby varying the polarization of the excitation light to programmably suppresscoupling to the dipole mode. We further study the emerging optical signaturesof the monolayer localized at dipole nanoantennas at $10\;\mathrm{K}$. Ourfindings represent a key step towards realizing non-linear photonic devicesbased on 2D materials with potential for low-energy and ultrafast performance.

Tuning the Optical Properties of an MoSe$_2$ Monolayer Using Nanoscale Plasmonic Antennas