Electronic energy spectra and wave functions on the square Fibonacci tiling

S. Even Dar Mandel, R. Lifshitz

Research output: Contribution to journalArticlepeer-review

Abstract

We study the electronic energy spectra and wave functions on the square Fibonacci tiling, using an off-diagonal tight-binding model, in order to determine the exact nature of the transitions between different spectral behaviours, as well as the scaling of the total bandwidth as it becomes finite. The macroscopic degeneracy of certain energy values in the spectrum is invoked as a possible mechanism for the emergence of extended electronic Bloch wave functions as the dimension changes from one to two.

Original languageEnglish
Pages (from-to)759-764
Number of pages6
JournalPhilosophical Magazine
Volume86
Issue number6-8
DOIs
StatePublished - 21 Feb 2006

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