A multipole symmetry framework for phonon models shows that ferroaxial order produces hidden sublattice chiral phonons while polar order yields net global chirality.
First Observation of Superlattice Reflections in the Hidden Order at 105 K of Spin–Orbit Coupled Irid- ium Oxide Ca 5Ir3O12
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Effective phonon models based on symmetry-adapted multipole basis -- Hidden chiral phonon angular momentum splitting in ferroaxial systems
A multipole symmetry framework for phonon models shows that ferroaxial order produces hidden sublattice chiral phonons while polar order yields net global chirality.