A multipole symmetry framework for phonon models shows that ferroaxial order produces hidden sublattice chiral phonons while polar order yields net global chirality.
Chiral phonons: circu- larly polarized raman spectroscopy and ab initio calcula- tions in a chiral crystal tellurium
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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.