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

07:00 EST 20th December 2019 | BioPortfolio

Summary of "Discrete Lorentz symmetry and discrete spacetime translational symmetry in two- and three-dimensional crystals."

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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This article was published in the following journal.

Name: Journal of physics. Condensed matter : an Institute of Physics journal
ISSN: 1361-648X
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