Less singular quasicrystals: life in low codimensions

Details Less singular quasicrystals: life in low codimensions Less singular quasicrystals: life in low codimensions

2001-05-25

arxiv.org/abs/cond-mat/0105501v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages (with 6 figures), some modifications of text and figures, final version of paper accepted for publication in Phys.Rev.

Scientific paper

10.1103/PhysRevB.64.140201

The Rauzy tilings were proposed recently in a generalisation of the Fibonacci chain by Vidal and Mosseri. These tilings have a particularly simple theoretical description, making them appealing candidates for analytical solutions for electronic properties. We show by a numerical study of statistical properties of the tight-binding spectra that these tilings fall in an intermediate category between the crystal and the quasicrystal, i.e. in a class of almost integrable models.

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