A multipole symmetry framework for phonon models shows that ferroaxial order produces hidden sublattice chiral phonons while polar order yields net global chirality.
Electric toroidal octupolar symmetry in pyrite fes2 probed by raman optical activity
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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.