Identify Spin Space Group Ref [1]
Accurate SSG determination for magnetic structures, providing SSG–MSG comparison alongside analyses of magnetic phases, spin splitting, anomalous Hall conductivity, tensor properties, and more.
Spin Space Group Database
Browse the spin space group database including symmetry operations, group identifiers, Wyckoff positions, and more.
Data Resources
Supplementary Resources- Collinear spin space group-symmetry General positions, Wyckoff positions, spin site symmetry groups, spin Brillouin zones, little co-groups of wavevectors, band representations. Ref [2]
- Tables of altermagnets All altermagnets and corresponding momentum position of altermagnetic spin splitting in MAGNDATA. Ref [2]
- Candidate materials exhibiting unconventional magnons Magnon band structures of collinear magnets and corresponding band representations. Ref [2]
- Tables of nontrivial Spin Space Group Enumerated spin space groups data are provided. Ref [1]
- Identified Materials in MAGNDATA All experimentally determined magnetic structures in the MAGNDATA database. Ref [1]
- Second-order transport tensors of antiferromagnets A database of AFMs with second-order conductivity tensors allowed by SSG symmetry. Ref [1, 3]
- Character tables of corepresentations of double spin point groups (beta) Character tables of corepresentations of double spin point groups.
References
Publications[1] X. Chen†, J. Ren†, Y. Zhu†, Y. Yu†, A. Zhang, P. Liu, J. Li, Y. Liu, C. Li and Q. Liu*. Enumeration and representation theory of spin space groups. Phys. Rev. X 14, 031038 (2024). doi:10.1103/PhysRevX.14.031038
[2] X. Chen, Y. Liu, P. Liu, Y. Yu, J. Ren, J. Li, A. Zhang and Q. Liu. Catalog of Unconventional Magnons in Collinear Magnets. Nature (2025). doi:10.1038/s41586-025-08715-7
[3] H. Zhu†, J. Li†, X. Chen, Y. Yu and Q. Liu*. Magnetic geometry to quantum geometry nonlinear transports. Nat. Commun. 16, 4882 (2025). doi:10.1038/s41467-025-60128-2
