Comprehensive Study of Phonon Chirality under Symmetry Constraints

Abstract

Phonons are quanta of lattice vibrations, and their modes (linear, circular, or stationary) are symmetry-determined. Circularly polarized phonons, possessing nonzero angular momentum (AM), have drawn widespread attention recently. Despite widespread use of pseudo-angular momentum (PAM) and circularly polarized light polarization flips to identify chiral phonons in Raman scattering, their reliability is debated due to symmetry dependence, and experimental verification standards remain lacking. Here, we systematically study phonon chirality and associated phenomena across magnetic point groups. We establish that the AM-PAM correlation is governed by both crystalline symmetry and Wyckoff positions, dictating conditions where nonzero AM manifests in PAM signatures. Crucially, phonons belonging to distinct irreducible representations exhibit distinct experimental benchmarks, enabling direct determination of crystalline chirality and symmetry classification. Furthermore, we report the discovery of a signature for symmetry-induced phenomena, notably a half-wave plate-analogous effect induced by mirror-odd phonons. Meanwhile, we conducted five experiments to validate our theory.

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Cited by in corpus (7)

• Magnetic Signature of Chiral Phonons Revealed by Neutron Spectroscopy in Ferrimagnetic Fe${}_{1.75}$Zn${}_{0.25}$Mo${}_3$O${}_8$
• Catalogue of chiral phonon materials
• Anomalous phonon magnetic moments
• General ab initio framework for electronic-order-induced lattice-dynamics symmetry breaking
• Dynamical Orbital Angular Momentum Induced by Circularly Polarized Phonons
• Pseudo-chiral phonon splitting from octupolar magnetic order
• Raman spectroscopy of van der Waals topological magnet GdGaI