Less singular quasicrystals: The case of low codimensions

Article

关键词: SPECTRAL CORRELATIONS;    LEVEL STATISTICS;    INFLATION;    ELECTRONS;   

DOI  :  10.1103/PhysRevB.64.140201

来源: SCIE

【 摘 要 】

We consider a set of tilings proposed recently as d-dimensional generalizations 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. Given their self-similar geometry, one could expect that the tight-binding spectra of these tilings might possess the characteristically singular features of well-known quasiperiodic systems such as the Penrose or the octagonal tilings. We show here, by a numerical study of statistical properties of the tight-binding spectra that these tilings fall rather in an intermediate category between the crystal and the quasicrystal, i.e., in a class of almost integrable models. This is certainly a consequence of the low codimension of the tilings.

【 授权许可】

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