Unusual band structure and exotic electrical conduction for electrons in incommensurate lattice potentials

Electrons in crystals with incommensurate periodic potentials are shown to exhibit a band structure with many very narrow bands separated by narrow band gaps. This makes such systems ideal candidates for observing such exotic electrical conduction phenomena in d.c. fields as Zener tunneling and Stark oscillations. Estimates are made of the conditions under which such phenomena should be observable experimentally.