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

Figure 17

(a) A lattice-like distribution of amplitudes for the extended state 𝐸=0 in the on-site model of a 𝑁=243 triadic Cantor lattice. (b) An extended wave function corresponding to the energy 𝐸=−1.3473 obtained by setting 𝐁⁹=−𝐈. In both cases 𝑉_𝐴=0, 𝑉_𝐵=−1 and 𝑡=1 (adapted from [60], courtesy of Arunava Chakrabarti, with permission from Elsevier).

(a)

(b)