THE NARROW-BAND OF ELECTRONIC STATES LOCALIZED AT THE INTERFACES OF SUPERLATTICES

Within the framework of tight-binding theory we have found a class of superlattices that possess a narrow band of electronic states localized at interfaces. We suggest that, if the electron-phonon interaction is small enough, it could preserve the existence of the narrow band and lead to a superconducting state formed by Cooper pairs of heavy electrons localized at interfaces.