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arXiv · 0902.1219

Phonon Hall thermal conductivity from Green-Kubo formula

Jian-Sheng Wang·Lifa Zhang
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Abstract

We derive a 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 non-zero only if the dynamic matrix of the phonon system breaks mirror reflection symmetry. The results are obtained without perturbative assumptions about the spin-phonon interactions.

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Jian-Sheng Wang, Lifa Zhang. 2009-02-07. Phonon Hall thermal conductivity from Green-Kubo formula. https://doi.org/10.1103/physrevb.80.012301

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