Phonon Hall effect in ionic crystals in the presence of static magnetic field

Abstract

We study phonon Hall effect (PHE) for ionic crystals in the presence of static magnetic field. Using Green-Kubo formula, we present an exact calculation of thermal conductivity tensor by considering both positive and negative frequency phonons. Numerical results are shown for some lattices such as hexagonal lattices, triangular lattices, and square lattices. We find that the PHE occurs on the nonmagnetic ionic crystal NaCl, although the magnitude is very small which is due to the tiny charge-to-mass ratio of the ions. The off-diagonal thermal conductivity is finite for nonzero magnetic field and changes sign for high value of magnetic field at high temperature. We also found that the off-diagonal thermal conductivity diverges as $\pm 1/T$ at low temperature.

References in corpus (4)

• Observation of the Magnon Hall Effect
• Topological Nature of the Phonon Hall Effect
• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
• Phonon Hall thermal conductivity from Green-Kubo formula

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