Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals. (8th January 2020)

• Record Type: Journal Article
• Authors: Li, Xiuwen; Chai, Jiaxue; Zhu, Huixian; Wang, Pei
• Is Part Of: Journal of physics. Volume 32:Number 14(2020)
• Publication Date: 2020-01-08
• Subjects: time crystal -- discrete Poincare symmetry -- crystal symmetry group; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/ab6464
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: As is well known, crystals have discrete space translational symmetry. It was recently noticed that one-dimensional crystals possibly have discrete Poincaré symmetry, which contains discrete Lorentz and discrete time translational symmetry as well. In this paper, we classify the discrete Poincaré groups on two- and three- dimensional Bravais lattices. They are the candidate symmetry groups of two- or three-dimensional crystals, respectively. The group is determined by an integer generator g, and it reduces to the space group of crystals at g = 2.