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Автор Ming-Guang Qin
Автор Hong-ru Ma
Автор Chien-Hua Tsai
Дата выпуска 1990-02-05
dc.description The one-dimensional Thue-Morse sequence with a generating matrix of determinant 0 has been suggested to be intermediate between a periodic structure and a standard quasi-periodic structure like the Fibonacci sequence. The renormalisation procedure developed in the authors' previous study of the one-dimensional Fibonacci quasi-crystal is applied here to discuss the electronic spectrum of a tight-binding Thue-Morse aperiodic chain. The resulting integrated electronic density of states indeed shows a structure that is more like that of a periodic chain than a Fibonacci quasi-crystal. They suggest that the analytical procedure can be extended to study one-dimensional quasi-crystals of any other kind, the two-dimensional Penrose lattice as well as three-dimensional real quasi-crystals.
Формат application.pdf
Издатель Institute of Physics Publishing
Название A renormalisation analysis of the one-dimensional Thue-Morse aperiodic chain
Тип paper
DOI 10.1088/0953-8984/2/5/002
Electronic ISSN 1361-648X
Print ISSN 0953-8984
Журнал Journal of Physics: Condensed Matter
Том 2
Первая страница 1059
Последняя страница 1072
Аффилиация Ming-Guang Qin; Inst. of Condensed Matter Phys., Jiao-Tong Univ., Shanghai, China
Аффилиация Hong-ru Ma; Inst. of Condensed Matter Phys., Jiao-Tong Univ., Shanghai, China
Аффилиация Chien-Hua Tsai; Inst. of Condensed Matter Phys., Jiao-Tong Univ., Shanghai, China
Выпуск 5

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