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• W2024354637 abstract "The electronic eigenvalues and eigenstates of finite parts of Penrose structures are studied on the basis of a recently proposed three-dimensional solvable model [J. Phys. A 30, 7831 (1997)]. This model allows to take explicitely into account the geometry in three-dimensional space and involves no assumptions such as only nearest neighboring atoms coupling. For finite parts of a Penrose tiling, it is shown that the positions of some of the gaps in the integrated density of states are directly related to the geometry of the systems. As a result, the explicit expressions for ten gaps relative to infinite tilings are obtained from the known frequencies of vertex stars of Penrose tilings." @default.
• W2024354637 created "2016-06-24" @default.
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• W2024354637 date "2002-09-11" @default.
• W2024354637 modified "2023-09-25" @default.
• W2024354637 title "Penrose structures: Gap labeling and geometry" @default.
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• W2024354637 doi "https://doi.org/10.1103/physrevb.66.094202" @default.
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