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 |