Review Article
On the Nature of Electronic Wave Functions in One-Dimensional Self-Similar and Quasiperiodic Systems
Figure 5
Illustration of a critical wave function. The amplitude distribution shown in (a) for the wave function as a whole is identically reproduced at progressively smaller scales (indicated by the arrows) in (b) and (c) after a proper rescaling. This is a distinctive feature of its characteristic self-similarity property. This wave function corresponds to the eigenstate located at the center of the spectrum, , in the Aubry-André model (see Section 1.5) with a potential strength (adapted from [8], with permission from Ostlund and Pandit © 1984 by the American Physical Society).
