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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
ISSN0722-3277
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
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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
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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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