LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH

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	LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH
	J. Q. You; J. R. Yan; J. X. Zhong; X. H. Yan
	1992
发表期刊	Physical Review B
ISSN	0163-1829
卷号	45 期号:14 页码:7690-7696
摘要	A real-space renormalization-group (RSRG) scheme is developed to study the local electronic properties of the two-dimensional Penrose tilings. The RSRG transformations are derived in terms of the inflation rule of the Penrose tilings. Two basic transformations T(alpha) and T(beta) are introduced, of which T(alpha) transforms a rhombus (R) Penrose tiling to a kite-dart (KD) Penrose tiling, while T(beta) transforms a KD Penrose tiling to a R Penrose tiling. Suitable combinations of them give rise to two transformations T1 and T2, of which T1 or T2 transforms a R or KD Penrose tiling to the same kind of quasiperiodic tiling that is scaled by a factor of tau(2), in which tau = (square-root 5 + 1)/2 is the golden mean. By infinite iterations of T1 or T2, we obtain the local Green's functions and the local densities of states (LDOS) at the key sites of the R or KD Penrose tilings. The LDOS at the key sites of the R Penrose tilings are numerically calculated and are consistent with the results obtained by others.
部门归属	china ctr adv sci & technol,world lab,beijing 100080,peoples r china. xiangtan univ,inst sci & technol,modern phys lab,xiangtan 411105,peoples r china.;you, jq (reprint author), chinese acad sci,inst met res,atom imaging solids lab,shenyang 110015,peoples r china
关键词	Quasi-periodic Lattices Trace Maps Dimensional Quasicrystals Quasiperiodic Patterns Vibrational-modes Fibonacci-chain Green-functions Band-structure Wave-function States
URL	查看原文
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/39339
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	J. Q. You,J. R. Yan,J. X. Zhong,et al. LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH[J]. Physical Review B,1992,45(14):7690-7696.
APA	J. Q. You,J. R. Yan,J. X. Zhong,&X. H. Yan.(1992).LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH.Physical Review B,45(14),7690-7696.
MLA	J. Q. You,et al."LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH".Physical Review B 45.14(1992):7690-7696.