On the Nature of Electronic Wave Functions in One-Dimensional Self-Similar and Quasiperiodic Systems
Figure 18
Self-similar features in the wave function located at the center of the spectrum, , in the Fibonacci standard transfer model with . In (a) the wave function for a lattice composed of sites is plotted. A portion of this wave function, comprised within the sites indicated by the arrows around the highest peak located at , is shown in (b). This amplitude distribution is identically reproduced at progressively smaller scales in (c) and (d) after a proper rescaling (and renumbering of the lattice sites) (from [48], with permission from Kohmoto et al. 1987 by the American Physical Society).
