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RENORMALIZATION-GROUP FOR THE OCTAGONAL QUASI-PERIODIC TILING

被引：44
作者：
SIRE, C
BELLISSARD, J
机构：
[1] CNRS MARSEILLE LUMINY,CTR PHYS THEOR,F-13288 MARSEILLE 9,FRANCE
[2] UNIV AIX MARSEILLE 1,F-13331 MARSEILLE 3,FRANCE
来源：
EUROPHYSICS LETTERS | 1990年 / 11卷 / 05期
关键词：
D O I：
10.1209/0295-5075/11/5/009
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a renormalization group for a tight-binding Hamiltonian on the standard octagonal tiling. Our method can be generalized to any self-similar quasi-crystal in 2D or even 3D. In the limit of large potentials compared to the hopping parameters, there are numerical evidences that the spectrum is a Cantor set with zero Lebesgue measure. © 1990 The Japan Society of Applied Physics.
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页码：439 / 443
页数：5
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