Algorithm for spin symmetry operation search

Abstract

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.

References in corpus (4)

• Generating derivative structures: Algorithm and applications
• Spin-polarized current in non-collinear antiferromagnets
• Spin Hall effect emerging from a chiral magnetic lattice without spin-orbit coupling
• Magnetic interactions in AB-stacked kagome lattices: magnetic structure, symmetry, and duality

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• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
• Multiferroic collinear antiferromagnet with hidden altermagnetic split
• Non-relativistic linear Edelstein effect in helical EuIn2As2
• IRSSG: An Open-Source Software Package for Spin Space Groups