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
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2024年
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
  • [41] Gauge symmetry and supersymmetry breaking by discrete symmetry
    Li, TJ
    NUCLEAR PHYSICS B, 2002, 633 (1-2) : 83 - 96
  • [42] Symmetry of a liquid and symmetry breaking at the glass transition
    Dembovsky, SA
    PHYSICS LETTERS A, 1998, 238 (4-5) : 315 - 321
  • [43] Symmetry and symmetry breaking for minimizers in the trace inequality
    Dozo, EJL
    Torné, O
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2005, 7 (06) : 727 - 746
  • [44] SYMMETRY BREAKING TRANSITIONS Dynamics of broken symmetry
    Averitt, Richard D.
    NATURE PHYSICS, 2010, 6 (09) : 639 - 640
  • [45] Symmetry and symmetry breaking in coupled oscillator communities
    Per Sebastian Skardal
    The European Physical Journal B, 2019, 92
  • [46] Symmetry and symmetry breaking during crystal growth
    Vlieg, E.
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2014, 70 : C940 - C940
  • [47] ON THE SYMMETRY OF THE VACUUM IN THEORIES WITH "SPONTANEOUS SYMMETRY BREAKING"
    Perez, Alejandro
    Sudarsky, Daniel
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2011, 26 (09): : 1493 - 1544
  • [48] Symmetry and Symmetry-Breaking in Fluid Dynamics
    Herczynski, Andrzej
    Zenit, Roberto
    SYMMETRY-BASEL, 2024, 16 (05):
  • [49] Inflation as a spontaneous symmetry breaking of Weyl symmetry
    Barnaveli, Alexander
    Lucat, Stefano
    Prokopec, Tomislav
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2019, (01):
  • [50] Symmetry and symmetry-breaking in multiagent behavior
    F. di Primio
    Artificial Life and Robotics, 1998, 2 (2) : 80 - 85
12345