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Electrons and Phonons on the Square Fibonacci Tiling

Roni Ilan·Edo Liberty·Shahar Even-Dar Mandel·Ron Lifshitz
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Abstract

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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Roni Ilan, Edo Liberty, Shahar Even-Dar Mandel, Ron Lifshitz. 2003-10-08. Electrons and Phonons on the Square Fibonacci Tiling. https://doi.org/10.1080/00150190490462252

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