Understanding exciton-mediated interactions in transition metal dichalcogenides (TMDs)
Investigate and quantitatively explain the interactions between excitons (and exciton-polaritons) in transition metal dichalcogenide monolayers that are mediated by a two-dimensional electron gas or by other excitons. Specifically, determine a theoretical framework that reconciles puzzling experimental observations—such as the sign and magnitude of polaron-polariton energy shifts—with Landau’s quasiparticle interaction picture, while accounting for phase-space filling due to the composite nature of excitons, the detailed exciton–electron and exciton–exciton interaction potentials, and the inherently non-equilibrium character of the optical pump–probe conditions used in experiments.
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Understanding the puzzling results regarding interactions between excitons in TMDs mediated by electrons or other excitons is also a largely open and important problem. This is complicated by several factors such as the composite nature of the excitons leading to phase space filling effects, the non-trival nature of the exciton-electron and exciton-exciton interactions, and the inherent non-equilibrium nature of these systems, which may require the development of new theoretical frameworks.