AN EXACT RENORMALIZATION-GROUP APPROACH FOR LOCAL PHONON PROPERTIES OF SINGLE-ATOM AND DOUBLE-ATOM GENERALIZED FIBONACCI SYSTEMS | |
X. H. Yan; Yan, Jr.; J. X. Zhong; J. Q. You; Y. P. Mei | |
1993 | |
发表期刊 | Zeitschrift Fur Physik B-Condensed Matter
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ISSN | 0722-3277 |
卷号 | 91期号:4页码:467-474 |
摘要 | We present an exact renormalization-group approach to study the local phonon properties of the double-atom generalized Fibonacci systems in which the masses and spring constants are all associated with the aperiodic sequences constructed by the inflation rule: {A, B} --> {A(n) B(m), A}. n(m + 1) basic transformations and 2n(n+m-1)+1 basic decimations are introduced. By applying the combinations of derived transformations and decimations, we can determine exactly the renormalized local environment, up to infinite order, of any given site in the double-atom systems. Both the single-atom and double-atom phonon models are employed, and the local density of states in several sites of some generalized Fibonacci systems are numerically calculated. |
部门归属 | chinese acad sinica, inst met res, atom imaging solids lab, shenyang 110015, peoples r china. xiangtan univ, inst sci & technol, modern phys lab, xiangtan 411105, peoples r china.;yan, xh (reprint author), china ctr adv sci & technol, world lab, pob 8730, beijing 100080, peoples r china |
关键词 | One-dimensional Quasicrystals Quasi-periodic Systems Thue-morse Lattices Electronic-properties Green-functions Cantor Spectra Energy-spectra Chains Maps Localization |
URL | 查看原文 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.imr.ac.cn/handle/321006/39161 |
专题 | 中国科学院金属研究所 |
推荐引用方式 GB/T 7714 | X. H. Yan,Yan, Jr.,J. X. Zhong,et al. AN EXACT RENORMALIZATION-GROUP APPROACH FOR LOCAL PHONON PROPERTIES OF SINGLE-ATOM AND DOUBLE-ATOM GENERALIZED FIBONACCI SYSTEMS[J]. Zeitschrift Fur Physik B-Condensed Matter,1993,91(4):467-474. |
APA | X. H. Yan,Yan, Jr.,J. X. Zhong,J. Q. You,&Y. P. Mei.(1993).AN EXACT RENORMALIZATION-GROUP APPROACH FOR LOCAL PHONON PROPERTIES OF SINGLE-ATOM AND DOUBLE-ATOM GENERALIZED FIBONACCI SYSTEMS.Zeitschrift Fur Physik B-Condensed Matter,91(4),467-474. |
MLA | X. H. Yan,et al."AN EXACT RENORMALIZATION-GROUP APPROACH FOR LOCAL PHONON PROPERTIES OF SINGLE-ATOM AND DOUBLE-ATOM GENERALIZED FIBONACCI SYSTEMS".Zeitschrift Fur Physik B-Condensed Matter 91.4(1993):467-474. |
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