TY - JOUR
T1 - Electronic energy spectra and wave functions on the square Fibonacci tiling
AU - Mandel, S. Even Dar
AU - Lifshitz, R.
N1 - Funding Information:
This research is supported by the Israel Science Foundation No. 278/00.
PY - 2006/2/21
Y1 - 2006/2/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=31444448318&partnerID=8YFLogxK
U2 - 10.1080/14786430500313846
DO - 10.1080/14786430500313846
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AN - SCOPUS:31444448318
VL - 86
SP - 759
EP - 764
JO - Philosophical Magazine
JF - Philosophical Magazine
SN - 1478-6435
IS - 6-8
ER -