Effects of disorder in the Fibonacci quasicrystal

We study the properties of one-dimensional Fibonacci chain, subjected to placement on-site impurities. The resulting disruption quasiperiodicity can be classified in terms renormalization path site at which impurity is placed, greatly reduces possible amount disordered behavior that impurities induce. Moreover, it found that, some extent, addition multiple weak treated by superposing individual contributions together and ignoring nonlinear effects. This means a transition regime between quasiperiodic order disorder exists parts system still exhibit quasiperiodicit, while other start characterized different localization behaviors wave functions. manifested through symmetry wave-function amplitude map, expressed conumbers, inverse participation ratio. For latter, we find its average states also grouped has been placed.