SPECTRAL STRUCTURE FOR A CLASS OF ONE-DIMENSIONAL 3-TILE QUASI-LATTICES

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	SPECTRAL STRUCTURE FOR A CLASS OF ONE-DIMENSIONAL 3-TILE QUASI-LATTICES
	Y. Y. Liu; X. J. Fu; H. Han; B. L. Cheng; C. F. Luan
	1991
发表期刊	Physical Review B
ISSN	0163-1829
卷号	43 期号:16 页码:13240-13245
摘要	Using a decomposition-decimation method based on the renormalization-group technique, we have studied the spectral structure of a class of one-dimensional three-tile quasiperiodic lattice models, for which the (concurrent) substitution rules are S --> M, M --> L, and L --> LS, where S, M, and L represent, respectively, the short, medium, and long tiles. Branching rules for the electronic energy spectrum have been analytically obtained and confirmed by numerical simulations. It is found that three kinds of branching patterns alternately appear in the spectrum, which displays a kind of self-similarity very different from the trifurcating self-similarity of one-dimensional Fibonacci quasilattices.
部门归属	chinese ctr adv sci & technol,world lab,beijing 100080,peoples r china. acad sinica,int ctr mat phys,shenyang 110015,peoples r china. s china univ technol,dept math,guangzhou,peoples r china.;liu, yy (reprint author), s china univ technol,dept phys,guangzhou 510641,peoples r china
关键词	Electronic-properties Quasiperiodic Lattices Localization Problem Fibonacci Quasicrystals Systems States Maps
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/39418
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Y. Y. Liu,X. J. Fu,H. Han,et al. SPECTRAL STRUCTURE FOR A CLASS OF ONE-DIMENSIONAL 3-TILE QUASI-LATTICES[J]. Physical Review B,1991,43(16):13240-13245.
APA	Y. Y. Liu,X. J. Fu,H. Han,B. L. Cheng,&C. F. Luan.(1991).SPECTRAL STRUCTURE FOR A CLASS OF ONE-DIMENSIONAL 3-TILE QUASI-LATTICES.Physical Review B,43(16),13240-13245.
MLA	Y. Y. Liu,et al."SPECTRAL STRUCTURE FOR A CLASS OF ONE-DIMENSIONAL 3-TILE QUASI-LATTICES".Physical Review B 43.16(1991):13240-13245.