Electron–Phonon Interaction in Dielectric Bilayer Systems. Effect of the Electronic Polarizability

A quantum‐mechanical theory of the electron–(long‐wave optical) phonon interaction in dielectric bilayer systems is developed. The operator describing the interaction between an electron and the phonon modes of the bilayer system is calculated including the electronic polarizability. All polarization eigenmodes together with their dispersion relation are derived and discussed. The dispersion curves of the surface phonons are calculated and presented for various cases in graphical form. The interaction of electrons outside and inside the bilayer system is studied and the coupling functions are calculated and discussed and they are shown in graphical form.