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Figure 5
The envelope function and probability distributions P(u) for the Fibonacci chain (one-dimensional quasicrystal) with phonons. The notation from Fig. 1[link] has been used. The set of peaks is in general infinitely dense, and its distribution is aperiodic. For clarity only peaks with limited indices and intensities are shown. For ideal positions (no phonons) the uniform probability distribution P(u) is observed [marked with dashed lines in the insets; compare with Fig. 4[link](a)]. Reference lattice parameter [{\lambda _{{k}}} = 2\pi /{k_0}].

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