Abstract
The calculation of the static and dynamic structure factors of a dimerized Fibonacci chain are presented. This lattice has four kinds of bonds with an underlying quasiperiodicity, but does not preserve the scale invariance like the undistorted Fibonacci chain. This lattice is of interest from the point of view of possible Peierls' distortion in the presence of electron-phonon interactions. To calculate the static structure factor we use the ``cut and projection'' method, while a proposed numerical renormalization-group algorithm has been utilized to find the dynamic one. Our proposed algorithm is, in principle, exact, and can be implemented to any arbitrary degree of accuracy.
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