Flexural deformations and collapse of bilayer two-dimensional crystals by interlayer excitons

We develop a consistent theory of the interlayer exciton-polaron formed in atomically thin bilayers. Coulomb attraction between an electron and hole situated different layers results their flexural deformation provides efficient mechanism exciton coupling with phonons. study effect tension on polaron binding energy effective mass leading to suppression formation by both weak strong regimes. also consider role nonlinearity related interaction out- in-plane lattice displacements obtain criterion layer sticking, where collapses due charge carriers.