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

Figure 14

Tight-binding homogeneous Vicsek fractal model describing the electron dynamics in terms of on-site energies 𝜖₀ and transfer integrals 𝑡. The fractal generation order is given by the integer 𝑘, while 𝑁 stands for the number of atoms in the decimated chains.