Electronic energy spectra and wave functions on the square Fibonacci tiling

Details Electronic energy spectra and wave functions on the square Fibonacci tiling Electronic energy spectra and wave functions on the square Fibonacci tiling

2005-09-28

arxiv.org/abs/cond-mat/0509732v1

Phil. Mag. 86 (2006) 759-764.

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1080/14786430500313846

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 behaviors, 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.

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