Holzer 1988
Holzer, M., 1988: Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic case. Phys. Rev. B, 38, 1709-1720, doi:10.1103/PhysRevB.38.1709.
We generalize the Fibonacci Penrose tiling to three classes of one-dimensional, two-tile Penrose tilings which can be obtained geometrically as well as recursively. From a numerical study of their spectral properties, we conclude that the Fibonacci case has the generic features of all three classes. As a model of epitaxial quasiperiodic superlattices we consider a Fibonacci Kronig-Penney model and give a physical picture relating structural to spectral properties.
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Holzer, M.: Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic case, Phys. Rev. B, 38, 1709-1720, doi:10.1103/PhysRevB.38.1709, 1988.
Holzer, M. (1988), Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic case, Phys. Rev. B, 38, 1709-1720, doi:10.1103/PhysRevB.38.1709.
Holzer, M., 1988: Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic case. Phys. Rev. B, 38, 1709-1720, doi:10.1103/PhysRevB.38.1709.
Holzer, M. 1988, Phys. Rev. B, 38, 1709, doi:10.1103/PhysRevB.38.1709.
Holzer M. Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic case, Phys Rev B 1988;38:1709-1720. doi:10.1103/PhysRevB.38.1709.
M. Holzer, Phys. Rev. B 38, 1709-1720, doi:10.1103/PhysRevB.38.1709 (1988).
