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Phonon Hall thermal conductivity from the Green-Kubo formula
被引:46
|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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