LOCALIZED AND EXTENDED STATES IN A DETERMINISTICALLY APERIODIC CHAIN

We study the electronic properties of a deterministically aperiodic ch ain where the impurities are located at sites corresponding to prime n umbers. We consider a one-dimensional tight-binding model with a discr ete potential and calculate the wave functions, resistance, and densit y of states. It is found that both localized and extended states exist and that the wave function at a mobility edge is multifractal. We als o discuss the energy spectrum and the physical origin of the extended states.