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.
机构:
Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, Israel
机构:
Admiral Makarov State Univ Maritime & Inland Ship, St Petersburg 198035, Russia
Peter Great St Petersburg Polytech Univ, St Petersburg 195251, RussiaAdmiral Makarov State Univ Maritime & Inland Ship, St Petersburg 198035, Russia