Symmetry and symmetry breaking of quasicrystals and their applications

被引:0
|
作者
Fan, Tian-You [1 ]
Tang, Zhi-Yi [2 ]
机构
[1] Beijing Inst Technol, Sch Phys, Beijing 100081, Peoples R China
[2] Hubei Polytech Univ, Sch Math & Phys, Huangshi 435003, Peoples R China
关键词
Quasicrystals; symmetry; symmetry breaking; OPTICAL CONDUCTIVITY; SPECTRAL PROPERTIES; FRANK-KASPER; MEASURE ZERO; ELASTICITY; PHASES; ORDER; STABILITY; EQUATION; STATES;
D O I
10.1142/S0217979225300014
中图分类号
O59 [应用物理学];
学科分类号
摘要
This paper gives a detailed review on symmetry and symmetry breaking of quasicrystals. The symmetry groups of solid and soft-matter quasicrystals observed so far are summarized and the symmetry breakings of quasicrystals are systematically discussed. The present review connects several branches of mathematics and physics and related applications in science and technology are also discussed.
引用
收藏
页数:23
相关论文
共 50 条
  • [21] Symmetry breaking
    Walsh, Toby
    AI 2006: ADVANCES IN ARTIFICIAL INTELLIGENCE, PROCEEDINGS, 2006, 4304 : 7 - +
  • [22] Spontaneous symmetry breaking and chiral symmetry
    Li, LF
    PARTICLES AND FIELDS, 2000, 531 : 16 - 44
  • [23] Symmetry breaking in a bounded symmetry domain
    Wang, HC
    Wu, TF
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2004, 11 (03): : 361 - 377
  • [24] A DISCUSSION OF SYMMETRY AND SYMMETRY-BREAKING
    GOLUBITSKY, M
    SCHAEFFER, D
    PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 40 : 499 - 515
  • [25] Symmetry and symmetry breaking in particle physics
    Tsun, TS
    EUROPEAN WOMEN IN MATHEMATICS, 1999, : 161 - 168
  • [26] Symmetry and symmetry breaking in electrostatic MEMS
    Pelesko, JA
    Bernstein, DH
    McCuan, T
    NANOTECH 2003, VOL 2, 2003, : 432 - 435
  • [27] Symmetry and symmetry breaking in electrostatic MEMS
    Pelesko, JA
    Bernstein, DH
    McCuan, T
    NANOTECH 2003, VOL 1, 2003, : 304 - 307
  • [28] Symmetry breaking at enhanced symmetry points
    Green, MB
    Gutperle, M
    NUCLEAR PHYSICS B, 1996, 460 (01) : 77 - 106
  • [29] Symmetry and symmetry breaking in Modern Physics
    Barone, Michele
    Theophilou, A. K.
    SYMMETRY AND STRUCTURAL PROPERTIES OF CONDENSED MATTER, 2008, 104
  • [30] Symmetry breaking in a bounded symmetry domain
    Hwai-chiuan Wang
    Tsung-fang Wu
    Nonlinear Differential Equations and Applications NoDEA, 2004, 11 : 361 - 377