Dynamical properties of three component Fibonacci quasicrystal

被引：1
|
作者：
Ghosh, A [1 ]
机构：
[1] Saha Inst Nucl Phys, Theoret Condensed Matter Phys Div, Kolkata 700064, W Bengal, India
来源：
EUROPEAN PHYSICAL JOURNAL B | 2001年 / 21卷 / 01期
关键词：
D O I：
10.1007/s100510170211
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
We present a real space renormalization group (RSRG) method to study the lattice dynamics of a three component Fibonacci (3CF) quasicrystal. Phonon dispersion relations corresponding to different models of this lattice are obtained. Some features of the phonon dispersion curves are compared with experiments on real quasicrystal. It is observed that the positions of the strongest Bragg peaks calculated analytically are in perfect agreement with our RSRG calculations.
引用
收藏
页码：45 / 51
页数：7
相关论文
共 50 条
  • [31] THE FIBONACCI-PENROSE SEMIGROUP FORMALISM AND MORPHOGENETIC SYNTHESIS OF QUASICRYSTAL MOSAICS
    Yudin, V. V.
    Startzev, E. S.
    Permyakova, I. G.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 167 (01) : 517 - 537
  • [32] From the Fibonacci Icosagrid to E8 (Part I): The Fibonacci Icosagrid, an H3 Quasicrystal
    Fang, Fang
    Irwin, Klee
    CRYSTALS, 2024, 14 (02)
  • [33] GEOMETRIC CHARACTERISTICS OF FIBONACCI PERMUTATIONS AND A ONE-DIMENSIONAL LATTICE OF A QUASICRYSTAL
    LI, ZY
    KEXUE TONGBAO, 1987, 32 (22): : 1581 - 1582
  • [34] The Fibonacci-Penrose semigroup formalism and morphogenetic synthesis of quasicrystal mosaics
    V. V. Yudin
    E. S. Startzev
    I. G. Permyakova
    Theoretical and Mathematical Physics, 2011, 167
  • [35] Magnons in a Quasicrystal: Propagation, Extinction, and Localization of Spin Waves in Fibonacci Structures
    Lisiecki, Filip
    Rychly, Justyna
    Kuswik, Piotr
    Glowinski, Hubert
    Klos, Jaroslaw W.
    Gross, Felix
    Traeger, Nick
    Bykova, Iuliia
    Weigand, Markus
    Zelent, Mateusz
    Goering, Eberhard J.
    Schuetz, Gislea
    Krawczyk, Maciej
    Stobiecki, Feliks
    Dubowik, Janusz
    Graefe, Joachim
    PHYSICAL REVIEW APPLIED, 2019, 11 (05):
  • [36] Optimizing the Number of Components in a Molecular Quasicrystal: A Three-Component Material Based on the Penrose Tiling
    Zhou, Zhongfu
    Harris, Kenneth D. M.
    JOURNAL OF PHYSICAL CHEMISTRY C, 2008, 112 (42): : 16186 - 16188
  • [37] Quasicrystal structure and properties
    Goldman, Alan I.
    Widom, Mike
    Annual Review of Physical Chemistry, 1991, 42 (01) : 685 - 729
  • [38] EXACT DECIMATION APPROACH TO THE GREEN-FUNCTIONS OF THE FIBONACCI-CHAIN QUASICRYSTAL
    ASHRAFF, JA
    STINCHCOMBE, RB
    PHYSICAL REVIEW B, 1988, 37 (10): : 5723 - 5729
  • [39] Recurrence times in dynamical systems via a quasicrystal approach
    Twarock, R
    PHYSICS OF PARTICLES AND NUCLEI, 2002, 33 : S114 - S117
  • [40] Fibonacci-quasicrystal quantum-well structure emits more efficiently
    不详
    LASER FOCUS WORLD, 2008, 44 (11): : 13 - 13
12345