LOCAL ELECTRONIC-PROPERTIES OF 2-DIMENSIONAL PENROSE TILINGS - A RENORMALIZATION-GROUP APPROACH
文献类型：期刊论文
| 作者 | J. Q. You ; J. R. Yan ; J. X. Zhong ; X. H. Yan |
| 刊名 | Physical Review B
 |
| 出版日期 | 1992 |
| 卷号 | 45期号:14页码:7690-7696 |
| 关键词 | quasi-periodic lattices trace maps dimensional quasicrystals quasiperiodic patterns vibrational-modes fibonacci-chain green-functions band-structure wave-function states |
| ISSN号 | 0163-1829 |
| 中文摘要 | 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. |
| 原文出处 | |
| 公开日期 | 2012-04-14 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/39339]  |
| 专题 | 金属研究所_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. |
入库方式： OAI收割
来源：金属研究所
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