Electrons and phonons on the square fibonacci tiling

Roni Ilan, Edo Liberty, Shahar Even Dar Mandel, Ron Lifshitz

Research output: Contribution to journalArticlepeer-review

Abstract

We study the Schrödinger 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.

Original languageEnglish
Pages (from-to)15-19
Number of pages5
JournalFerroelectrics
Volume305
DOIs
StatePublished - 1 Jan 2004

Keywords

  • Electronic spectrum
  • Phonon spectrum
  • Separable quasicrystals
  • Square Fibonacci tiling

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