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        The Fibonacci Quasicrystal

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        TheFibonacciQuasicrystal_SimonGroot.pdf (11.35Mb)
        Publication date
        2018
        Author
        Groot, S.J.
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        Summary
        Ever since their discovery in 1982, quasicrystals have been a topic of high interest in physics. They have many potential application and possess interesting mathematical properties. In this thesis, we investigate one of the most famous quasicrystals: the Fibonacci quasicrystal. We prove mathematically that its energy spectrum has a recursive, Cantor-set like structure, and observe a symmetry in the local density of states. We confirm these predictions with numerical calculations and an experiment on a similar quascrystal.
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        https://studenttheses.uu.nl/handle/20.500.12932/37599
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