FINDSPINGROUP: Identify Spin Group and Related Properties

Online Program: FINDSPINGROUP [1]

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Manual: International notation of Spin Space Group and How to use FINDSPINGROUP

Data:

Tables of nontrivial Spin Space Group: Enumerated spin space groups data are provided (Ref. [1])

Identified Materials in MAGNDATA: All experimentally determined magnetic structures available in the MAGNDATA database have been identified and listed (Ref. [1])

Tables of second-order transport tensors of antiferromagnets: A database of antiferromagnets (AFMs) with second-order conductivity tensors allowed by SSG symmetry, where all the AFMs are experimentally validated (arXiv:2406.03738) (Refs. [1],[3])

Collinear spin space group-symmetry: General positions, Wyckoff positions. spin site symmetry groups, spin Brillouin zones, little co-groups of wavevectors, band representations of all spin space groups are provided (Ref. 2)

Tables of altermagnets: All altermagnets and their corresponding momentum position of altermagnetic (electronic/magnonic) spin splitting in the MAGNDATA database are provided (Ref. [2])

Tables of candidate materials exhibiting unconventional magnons: The magnon band structures of collinear magnets exhibiting unconventional magnons, along with their corresponding band representations, are presented (Ref. [2])

References

[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)

[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. arXiv:2307.12366 (2023)

[3] H. Zhu†, J. Li†, X. Chen, Y. Yu and Q. Liu*. Magnetic geometry to quantum geometry nonlinear transports. arXiv:2406.03738 (2024)

Examples:

Collinear

Coplanar

Noncoplanar