Phonon Hall Effect in Four-Terminal Junctions

Details Phonon Hall Effect in Four-Terminal Junctions Phonon Hall Effect in Four-Terminal Junctions

2009-02-27

arxiv.org/abs/0902.4839v2

New Journal of Physics 11, 113038 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures

Scientific paper

10.1088/1367-2630/11/11/113038

Using an exact nonequilibrium Green's function formulism, the phonon Hall effect for paramagnetic dielectrics is studied in a four-terminal device setting. The temperature difference in the transverse direction of the heat current is calculated for two-dimensional models with the magnetic field perpendicular to the plane. We find a surprising result that the square lattice does not have the phonon Hall effect while a honeycomb lattice has. This can be explained by symmetry. The temperature difference changes sign if the magnetic field is sufficiently large.

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