We describe a novel state of electrons and phonons arising in semiconductor superlattices (SSL) due to strong electron-phonon interactions. These states are characterized by a localization of phonons and a self-trapping or locking of electrons in one or several quantum wells due to an additional, deformational potential arising around these locking wells in SSL. The effect is enhanced in a longitudinal magnetic field.
Using the tight-binding and adiabatic approximations the whole energy spectrum of the self-trapped states is found and accurate, analytic expressions are included for strong electron-phonon coupling. Finally, we discuss possible experiments which may detect these predicted self-trapped states.
This is a pre-print. It is also available at: http://arxiv.org/abs/cond-mat/9909304. The definitive version, Electron locking in layered structures by a longitudinal magnetic field, Physics Review B, 60(9), pp. 6208-6211, is available at: http://prola.aps.org/.