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
  • [31] Breaking symmetry
    Noriaki Horiuchi
    Nature Photonics, 2018, 12 : 123 - 123
  • [32] Ferromagnetism in quasicrystals: Symmetry aspects
    Yu. Kh. Vekilov
    S. V. Salikhov
    E. I. Isaev
    B. Johansson
    Journal of Experimental and Theoretical Physics, 2005, 100 : 1127 - 1128
  • [33] BREAKING SYMMETRY
    BOOTH, RK
    NEW SCIENTIST, 1986, 112 (1530) : 69 - 69
  • [34] Breaking symmetry
    Horiuchi, Noriaki
    NATURE PHOTONICS, 2018, 12 (03) : 123 - 123
  • [35] The symmetry of the thermoelastic properties of quasicrystals
    Sokolova, M. Yu.
    Khristich, D. V.
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2014, 78 (05): : 524 - 528
  • [36] Breaking symmetry, breaking ground
    Hindmarsh, Mark
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2016, 49 (41)
  • [37] SYMMETRY AND SYMMETRY-BREAKING IN GENERALIZED PARASTATISTICS
    LEVINE, RY
    TOMOZAWA, Y
    ANNALS OF PHYSICS, 1983, 149 (02) : 457 - 481
  • [38] Symmetry nonrestoration and inverse symmetry breaking on the lattice
    Bimonte, G
    Lozano, G
    PHYSICS LETTERS B, 1996, 388 (04) : 692 - 701
  • [39] Symmetry and symmetry breaking in coupled oscillator communities
    Skardal, Per Sebastian
    EUROPEAN PHYSICAL JOURNAL B, 2019, 92 (02):
  • [40] Symmetry, symmetry breaking, and pion parton distributions
    Ding, Minghui
    Raya, Khepani
    Binosi, Daniele
    Chang, Lei
    Roberts, Craig D.
    Schmidt, Sebastian M.
    PHYSICAL REVIEW D, 2020, 101 (05)