Abstract
A theory of the phonon Hall effect during heat transfer in a paramagnetic dielectric discovered by Strohm et al. [Phys. Rev. 95, 155901 (2005)] is developed. The heat flux emerging in the direction perpendicular to the magnetic field and to the temperature gradient is associated with the interaction of magnetic ions with the oscillating crystal field. In crystals with an arbitrary phonon spectrum, this interaction induces elliptic polarization of phonons. On the other hand, for any type of scattering, the temperature gradient forms part of the phonon density matrix, which is nondiagonal in modes. The combined action of these factors leads to the anomalous Hall effect.
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Original Russian Text © Yu. Kagan, L.A. Maksimov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 4, pp. 740–750.
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Kagan, Y., Maksimov, L.A. Anomalous Hall effect in the phonon thermal conductivity of paramagnetic dielectrics. J. Exp. Theor. Phys. 107, 632–641 (2008). https://doi.org/10.1134/S1063776108100105
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DOI: https://doi.org/10.1134/S1063776108100105