ELECTRONIC PROPERTIES FOR A CLASS OF ONE-DIMENSIONAL QUASILATTICES

We have studied a new class of one-dimensional quasiperiodic lattices, for which the substitution rules are B→BA, and A→BAB. The Kohmoto-Kadenoff-Tang (KKT) renormalization group method has been used to study the asymptotical behavior of the spectrum. It is found that the energy spectra are Cantor-like but have different salf-similarity from that of Fibonacci lattice. By use of several different criteria, three kinds of wave function behavior (extended, localized, and intermediate states) are clearly observed.