Electrons and Phonons on the Square Fibonacci Tiling
Condensed Matter
2020-11-10 v1
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.
Cite
@article{arxiv.cond-mat/0310174,
title = {Electrons and Phonons on the Square Fibonacci Tiling},
author = {Roni Ilan and Edo Liberty and Shahar Even-Dar Mandel and Ron Lifshitz},
journal= {arXiv preprint arXiv:cond-mat/0310174},
year = {2020}
}