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Fibonacci, Koch, and Penrose Structures: Spectrum of Finite Subsystems in Three-Dimensional Space

✍ Scribed by E. de Prunelé; X. Bouju


Book ID
101308661
Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
389 KB
Volume
225
Category
Article
ISSN
0370-1972

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✦ Synopsis


The electronic eigenvalues and eigenstates of finite Fibonacci, Koch, and 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 into account explicitly the geometry of the aperiodic structures in three-dimensional space and involves no assumption such as the coupling of nearest-neighbouring atoms only.


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