Phonon Hall thermal conductivity from the Green-Kubo formula

被引：47
|
作者：
Wang, Jian-Sheng [1 ,2 ,3 ]
Zhang, Lifa
机构：
[1] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
[2] Inst High Performance Comp, Singapore 138632, Singapore
[3] Singapore MIT Alliance, Singapore 117576, Singapore
来源：
PHYSICAL REVIEW B | 2009年 / 80卷 / 01期
关键词：
ballistic transport; magnetic fields; perturbation theory; phonon dispersion relations; spin Hall effect; spin-phonon interactions; thermal conductivity; PARAMAGNETIC RELAXATION; MAGNETIC-FIELD; SPIN; LATTICE; LIGHT;
D O I：
10.1103/PhysRevB.80.012301
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
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页数：4
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