English

Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric

Other Condensed Matter 2009-11-13 v3

Abstract

The theory of anomalous Hall effect for the heat transfer in a paramagnetic dielectric, discovered experimentally in [1], is developed. The appearance of the phonon heat flux normal to both the temperature gradient and the magnetic field is connected with the interaction of magnetic ions with the crystal field oscillations. In crystals with an arbitrary phonon spectrum this interaction creates the elliptical polarization of phonons. The kinetics related to phonon scattering induced by the spin-phonon interaction determines an origin of the off-diagonal phonon density matrix. The combination of the both factors is decisive for the phenomenon under consideration.

Keywords

Cite

@article{arxiv.0707.2565,
  title  = {Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric},
  author = {Yu. Kagan and L. A. Maksimov},
  journal= {arXiv preprint arXiv:0707.2565},
  year   = {2009}
}

Comments

5 pages; typos and abstract corrected

R2 v1 2026-06-21T08:59:09.969Z