Moiré Electron-Phonon Coupling in Twisted Transition Metal Dichalcogenides

The emergence of moiré phonons in twisted bilayer systems opens new avenues for controlling electron-phonon interactions in quantum materials. Here we investigate this coupling in twisted homobilayer transition metal dichalcogenides (TMDs) using a continuum model that incorporates two channels: interlayer coupling through modulated tunneling and intralayer coupling via strain-induced pseudo-gauge fields. Numerical calculations show that the coupling to moiré phonons is strongly enhanced at small twist angles due to superlattice hybridization, while at large angles it decays rapidly with increasing phonon branch index where electronic and phononic momenta are mismatched. We further discuss possible coupling to chiral moiré phonons arising from broken C_2z symmetry in the H stacking, which may have implications for valley-contrast moiré electron-phonon interactions. Our formalism provides a microscopic basis for understanding moiré-phonon-mediated processes in TMD heterostructures.