Spin symmetry study in non-collinear CrSe: Odd-wave magnetism induced by glide mirror symmetry breaking

Unconventional magnets have attracted sustained attention due to their unique potential for spintronic applications. In this study, we investigate the influence of non-collinear spins on spin symmetry and unconventional magnetism in CrSe systems. By designing three distinct spin symmetry prototypes: rotational-mirror (RM), RM-glide mirror, and two-dimensional structure with RM (2D-RM) symmetric structures, we demonstrate that non-collinear spins break glide mirror symmetry, leading to the emergence of odd-wave magnetism. Moreover, such odd-wave magnetism can occur even in 2D systems that retain out-of-plane mirror symmetry. Furthermore, we achieve the tunability of non-collinear-driven spin splitting via introducing lattice strain. The magnitude of spin splitting changes with the direction of the applied strain. Our work reveals that symmetry-breaking mechanisms inherent to non-collinear spin structures give rise to odd-wave magnetism, thereby facilitating the discovery of additional non-collinear odd-wave magnetism materials.