期刊
PHILOSOPHICAL MAGAZINE
卷 88, 期 13-15, 页码 2261-2273出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786430802070805
关键词
Fibonacci quasicrystals; electronic spectra; electronic transport; quasicrystals
类别
资金
- Israel Science Foundation [684/06]
Understanding the electronic properties of quasicrystals, in particular the dependence of these properties on dimension, is among the interesting open problems in the field of quasicrystals. We investigate an off-diagonal tight-binding hamiltonian on the separable square and cubic Fibonacci quasicrystals. We use the well-studied Cantor-like energy spectrum of the one-dimensional Fibonacci quasicrystal to obtain exact results regarding the transitions between different spectral behaviours of the square and cubic quasicrystals. We use analytical results for the addition of one-dimensional spectra to obtain bounds on the range in which the higher-dimensional spectra contain an interval as a component. We also perform a direct numerical study of the spectra, obtaining good results for the square Fibonacci quasicrystal, and rough estimates for the cubic Fibonacci quasicrystal.
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