| 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 | |
| Source Publication | Physical Review B
 |
| ISSN | 0163-1829 |
| Volume | 45Issue:14Pages:7690-7696 |
| Abstract | 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. |
| description.department | 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 |
| Keyword | 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 |
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/39339 |
| Collection | 中国科学院金属研究所 |
| Recommended Citation 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. |
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