A unified construction of generalized space groups from an internal configuration space yields a dodecahedral example with a symmetry-enforced point node of topological charge |C|=12.
Spin layer groups and their corepresentations
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abstract
Spin layer groups are the crystallographic symmetry groups with a periodic plane, and their symmetry operations are inherited from three-dimensional (3D) spin space groups. However, the direct application of 3D symmetry groups to two-dimensional systems is often inadequate due to anisotropic axes and dimensional reduction. In this work, we systematically classify inequivalent spin layer groups and analytically derive their irreducible corepresentations. This classification establishes a foundational framework for investigating symmetry-protected properties and novel quantum states in low-dimensional magnetic materials.
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cond-mat.mtrl-sci 1years
2026 1verdicts
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Generalized Space Groups from Internal Configuration Spaces
A unified construction of generalized space groups from an internal configuration space yields a dodecahedral example with a symmetry-enforced point node of topological charge |C|=12.