Review Article

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

Figure 4

Illustration of a Bloch function. In (a) we show the periodic function centered at the origin of the unit cell within the range , where is the lattice constant. In (b) the Bloch function is constructed by using the function shown in (a). At every lattice site (solid circles representing atoms) the function is modulated by the plane wave (only the real part is plotted) (Courtesy of Uichiro Mizutani from [9] by permission of Cambridge University Press).
165943.fig.004a
(a)
165943.fig.004b
(b)