Phonon Hall thermal conductivity from the Green-Kubo formula
- 15 July 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 80 (1) , 012301
Abstract
We derive an exact formula for the thermal-conductivity tensor of a ballistic phonon Hall model. It is found that, although the diagonal elements of the conductivity tensor diverge to infinite, the off-diagonal elements are finite, antisymmetric, and odd in magnetic field. The off-diagonal elements are nonzero only if the dynamic matrix of the phonon system breaks mirror-reflection symmetry. The results are obtained without perturbative treatment of the spin-phonon interactions.Keywords
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