Less singular quasicrystals: life in low codimensions

A. Jagannathan

doi:10.1103/physrevb.64.140201

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Less singular quasicrystals: life in low codimensions

A. Jagannathan

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Abstract

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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A. Jagannathan. 2001-07-19. Less singular quasicrystals: life in low codimensions. https://doi.org/10.1103/physrevb.64.140201

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