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arXiv · 1907.09848

Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals

Xiuwen Li·Jiaxue Chai·Huixian Zhu·Pei Wang
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Abstract

As is well known, crystals have discrete space translational symmetry. It was recently noticed that one-dimensional crystals possibly have discrete Poincar\'{e} symmetry, which contains discrete Lorentz and discrete time translational symmetry as well. In this paper, we classify the discrete Poincar\'{e} 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 $g=2$.

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Xiuwen Li, Jiaxue Chai, Huixian Zhu, Pei Wang. 2019-07-23. Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals. https://doi.org/10.1088/1361-648x/ab6464

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