Enumeration and Representation Theory of Spin Space Groups

Fundamental physical properties, such as phase transitions, electronic structures, and spin excitations, in all magnetic ordered materials, were ultimately believed to rely on the symmetry theory of magnetic space groups. Recently, it has come to light that a more comprehensive group, known as the spin space group (SSG), which combines separate spin and spatial operations, is necessary to fully characterize the geometry and underlying properties of magnetic ordered materials. However, the basic theory of SSG has seldom been developed. In this work, we present a systematic study of the enumeration and the representation theory of the SSG. Starting from the 230 crystallographic space groups and finite…

• NN
  National Natural Science Foundation of China

  Awards: 2020YFA0308900, 12274194, 2019B030301001
• CP
  China Postdoctoral Science Foundation

  Award: 2023M741544
• ST
  Science, Technology and Innovation Commission of Shenzhen Municipality

  Awards: pdjh2024c10202, 20231117091158001, ZDSYS20190902092905285
• SU
  Southern University of Science and Technology

  Award: 2019B030301001
• GP
  Guangdong Provincial Key Laboratory Of Computational Science And Material Design

  Award: 2019B030301001
• NK
  National Key Research and Development Program of China

  Award: 2020YFA0308900
• SS
  Shenzhen Science and Technology Innovation Program

  Awards: RCJC20221008092722009, 20231117091158001