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

Figure 20

Electronic charge distribution in general Fibonacci lattices with 𝑁=𝐹₁₆ and (a) 𝛾=2, 𝜖=0.75, and 𝐸^∗₁=−5/4 and (b) 𝛾=2, 𝜖=0.5, and 𝐸^∗₂=−5/6. The wave function amplitudes have been calculated with the aid of the matrix formalism making use of the initial conditions 𝜑₀=0 and 𝜑₁=1 (from [49], with permission from Maciá and Domínguez-Adame 1996 by the American Physical Society).

(a)

(b)