Review Article

On the Nature of Electronic Wave Functions in One-Dimensional Self-Similar and Quasiperiodic Systems

Figure 8

Illustration of a Bloch function in the weak potential regime of the Aubry-André model. The amplitude distribution shown in (a) for the wave function as a whole can be expressed in the form , where the hull periodic function is shown in (b). This wave function corresponds to the eigenstate located at the center of the spectrum, , with a potential strength (adapted from [8], with permission from Ostlund and Pandit © 1984 by the American Physical Society).
165943.fig.008a
(a)
165943.fig.008b
(b)