We study the density of states, the distribution of energy spacings, and the transmission coefficient of one-dimensional quasiperiodic Fibonacci and Thue-Morse systems. We consider arrays of δ potentials with constant separation and two potential strengths, and tight-binding systems with constant nearest-neighbor couplings and two different on-site energies. The quasiperiodicity lies in the arrangement of the two possible values of either the potential strengths or the on-site energies. We analyze the fractal character of the energy spectra of these systems through their integrated density of states and fractal dimensionality. We study the average with respect to energy of the transmission coefficient, which turns out to be a good way to measure the regularity of the system.

• Received 31 October 1994

DOI:https://doi.org/10.1103/PhysRevB.51.12813