Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
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We carry out a detailed analysis of the short-wave (semiclassical) approximation for the linear equations of the elasticity in a smoothly inhomogeneous isotropic medium. It is shown that the polarization properties of the transverse waves are completely analogous to those of electromagnetic waves and can be considered as spin properties of optical phonons. In particular, the Hamiltonian of the transverse waves contains an additional term of the phonon spin-orbit interaction arising from the Berry gauge potential in the momentum space. This potential is diagonal in the basis of the circularly polarized waves and corresponds to the field of two ``magnetic monopoles'' of opposite signs for phonons of opposite helicities. This leads to the appearance of the Berry phase in the equation for the polarization evolution and an additional ``anomalous velocity'' term in the ray equations. The anomalous velocity has the form of the ``Lorentz force'' caused by the Berry gauge field in momentum space and gives rise to the transverse transport of waves of opposite helicities in opposite directions. This is a manifestation of the spin Hall effect of optical phonons. The effect directly relates to the conservation of total angular momentum of phonons and also influences reflection from a sharp boundary (acoustic analog of the transverse Ferdorov-Imbert shift).
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A number of effects related to the spin-orbit coupling of light take place in multimode optical fibers.
“A number of effects related to the spin-orbit coupling of light take place in multimode optical fibers [24,120 -123,141 -144].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [144]
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- Authors
- Bliokh, K. Y., & Freilikher, V. D.
- Affiliations
- Bar-Ilan University (IL)
- ORCID
- Bliokh, K. Yu.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2006-11-21
- Volume
- 74
- Issue
- 17
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2764337198
- Cited by
- 55
- References
- 52
- Citations by year
- 2026: 1 · 2023: 10 · 2022: 4 · 2021: 5 · 2020: 3 · 2019: 2 · 2018: 6 · 2017: 1 · 2016: 3 · 2014: 3 · 2013: 1 · 2012: 2
- FWCI
- 2.05
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Acoustic Wave Phenomena Research
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Advanced Condensed Matter Physics
- Keywords
- transverse acoustic waves, Berry phase, helicity, anomalous velocity, ray equations, total angular momentum conservation, semiclassical approximation, Berry monopole
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