Electron locking in layered structures by a longitudinal magnetic field

We describe a state of electrons and phonons arising in layered structures, like cuprates and semiconductor superlattices due to electron-phonon interactions which are strongly enhanced by a strong magnetic field. These states are characterized by a localization of phonons and a self-trapping or locking of electrons in one or several quantum wells (layers) due to an additional, deformational and/or polarizational potential arising around these locking wells (layers). Using the tight-binding and adiabatic approximations the whole energy spectrum of such self-trapped states is found. Finally, we discuss possible experiments which may detect these predicted self-trapped states.