Identify Spin Space Group Ref [1]
Accurate SSG determination for magnetic structures, with SSG-MSG comparison and analysis of magnetic phases, spin splitting, spin-orbit-driven responses, anomalous Hall conductivity, tensor properties, and more.
Spin Space Group Database
Search canonical spin space group records by identifier, notation, NSSPG, SSPG, symmetry operations, and Wyckoff positions for magnetic symmetry and electronic-structure workflows.
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
