Electrons and Phonons on the Square Fibonacci Tiling

Physics – Condensed Matter

Scientific paper

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Scientific paper

We study the Schroedinger equation for an off-diagonal tight-binding
hamiltonian, as well as the equations of motion for out-of-plane vibrations, on
the separable square Fibonacci quasicrystal. We discuss the nature of the
spectra and wave functions of the solutions.

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