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
  • [1] Symmetry Breaking and Order in the Age of Quasicrystals
    Lifshitz, Ron
    ISRAEL JOURNAL OF CHEMISTRY, 2011, 51 (11-12) : 1156 - 1167
  • [2] Symmetry of quasicrystals
    A. E. Madison
    Physics of the Solid State, 2013, 55 : 855 - 867
  • [3] Applications of Symmetry Breaking in Plasmonics
    Barbillon, Gregory
    Ivanov, Andrey
    Sarychev, Andrey K.
    SYMMETRY-BASEL, 2020, 12 (06):
  • [4] Symmetry of Quasicrystals
    Madison, A. E.
    PHYSICS OF THE SOLID STATE, 2013, 55 (04) : 855 - 867
  • [5] APPROXIMATE SYMMETRY OF THE QUASICRYSTALS
    Mochtchenko, I. N.
    Aizenberg, A. I.
    Mochtchenko, I. K.
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 1999, 55 : 202 - 203
  • [6] SYMMETRY OF ICOSAHEDRAL QUASICRYSTALS
    LEVITOV, LS
    RHYNER, J
    JETP LETTERS, 1988, 47 (12) : 760 - 762
  • [7] On symmetry groups of quasicrystals
    V. A. Artamonov
    S. Sanchez
    Mathematical Notes, 2010, 87 : 303 - 308
  • [8] Symmetry of icosahedral quasicrystals
    Madison, A. E.
    STRUCTURAL CHEMISTRY, 2015, 26 (04) : 923 - 942
  • [9] On symmetry groups of quasicrystals
    Artamonov, V. A.
    Sanchez, S.
    MATHEMATICAL NOTES, 2010, 87 (3-4) : 303 - 308
  • [10] Symmetry of icosahedral quasicrystals
    A. E. Madison
    Structural Chemistry, 2015, 26 : 923 - 942