Phonons do not carry spin or charge, but they can couple to an external magnetic field and cause a sizable transverse thermal gradient. Experiments suggest that phonon handedness is a widespread effect in magnetic insulators with impurities.
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Martelli, V. Phonons bend to magnetic fields. Nat. Phys. 20, 537–538 (2024). https://doi.org/10.1038/s41567-023-02288-w
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DOI: https://doi.org/10.1038/s41567-023-02288-w