Optical Response of the Tightbinding Model on the Fibonacci Chain

We theoretically study the optical conductivity of tightbinding model which has two types hopping integrals arranged in Fibonacci sequence. Due to lack translational symmetry, many peak structures appear as well density states. When ratio is large, self-similar structure appears conductivity. This implies that response between high-energy bands related within low-energy bands, should originate from critical behavior wave functions. The effects disorders on are also analyzed order show absence self-similarity with random