Selective Exciton-Phonon-Phonon Coupling and Anharmonicity with Cavity Vibrational Phonons and MoS$_2$ Lattice Phonons in Hybrid Nanobeam Cavities

Abstract

We report selective coupling between neutral excitons X$^0$, vibrational phonon modes of a freestanding nanobeam cavity and lattice phonons of a MoS$_2$ monolayer fully encapsulated by hBN. Our experimental findings demonstrate that the cavity vibrational phonons selectively couple to neutral excitons (X$^0$), and the coupling to negatively charged trion (X$^-$) being significantly weaker. We establish this result by studying the lattice temperature induced broadening of exciton linewidths, where the contribution from the X$^0$-cavity phonon coupling is clearly observed while the X$^-$-cavity phonon coupling is not. Furthermore, when the Raman modes of MoS$_2$ lattice phonons A$_{1g}$ and 2LA are tuned into an outgoing resonance with exciton emissions, we observe the X$^0$-cavity phonon-lattice phonon coupling which inherits the characteristics rule the of X$^0$-cavity phonon coupling. As a result, X$^0$-induced Raman scatterings are enhanced, while X$^-$-induced scatterings are suppressed, revealed by the detuning-dependent Raman intensities and the ratio of X$^-$/X$^0$ emission intensities. The phonon anharmonicity from the coupling between cavity vibrational phonons and MoS$_2$ lattice phonons is further demonstrated by the observed Raman linewidth. Such hybrid couplings between materials and nanostructures enable the control of phonon-induced processes in nanophotonic and nanomechanical systems incorporating 2D semiconductors