A spin space group provides a suitable way to fully exploit the symmetry of a spin arrangement with a negligible spin-orbit coupling. There has been a growing interest in applying spin symmetry analysis with the spin space group in the field of magnetism. However, there is no established algorithm to search for spin symmetry operations of the spin space group. This paper presents an exhaustive algorithm for determining spin symmetry operations of commensurate spin arrangements. The present algorithm searches for spin symmetry operations from the symmetry operations of a corresponding nonmagnetic crystal structure and determines their spin-rotation parts by solving a Procrustes problem. An implementation is distributed under a permissive free software license in spinspg v0.1.1: https://github.com/spglib/spinspg.
@article{arxiv.2307.12228,
title = {Algorithm for spin symmetry operation search},
author = {Kohei Shinohara and Atsushi Togo and Hikaru Watanabe and Takuya Nomoto and Isao Tanaka and Ryotaro Arita},
journal= {arXiv preprint arXiv:2307.12228},
year = {2025}
}