A symmetry-only mapping from atomic Wyckoff positions to phonon irreps shows that nearly all emergent particles at high-symmetry points are enforced by space-group symmetry, yielding a catalog of 20,516,167 phonon emergent particles in 111,872 materials.
(2) One one-dimensional (co- )irrep and one two-dimensional (co-)irrep
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Catalog of phonon emergent particles
A symmetry-only mapping from atomic Wyckoff positions to phonon irreps shows that nearly all emergent particles at high-symmetry points are enforced by space-group symmetry, yielding a catalog of 20,516,167 phonon emergent particles in 111,872 materials.