Electrons and Phonons on the Square Fibonacci Tiling
arXiv:cond-mat/0310174 · doi:10.1080/00150190490462252
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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