Spatial exciton localization at interfaces of metal nanoparticles and atomically thin semiconductors

We present a self -consistent Maxwell -Bloch theory to analytically study the interaction between a nanostructure consisting of a metal nanoparticle and a monolayer of transition -metal dichalcogenide. For the combined system, we identify an effective eigenvalue equation that governs the center -of -mass motion of the dressed excitons in a plasmon-induced potential. Examination of the dynamical equation of the exciton-plasmon hybrid reveals the existence of bound states with negative eigenenergies, which we interpret as excitons localized in the plasmon-induced potential. The appearance of these bound states in the potential indicates strong coupling between excitons and plasmons. We quantify this coupling regime by computing the scattered light in the nearfield explicitly and identify signatures of strong exciton-plasmon coupling with an avoided crossing behavior and an effective Rabi splitting of tens of meV.