Spectral Structure and Gap-Labeling Properties for a New Class of One-Dimensional Quasilattices

A new class of 1D quasiperiodic lattices, for which the substitution rules are B→BA, and A→BAB, has been studied in several aspects. The high-dimensional projection method for obtaining the quasilattice is presented. A multifractral spectral behavior and gap fabeling properties have been found, which display the perfect quasiperiodicity of the studied model.