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.
引用
收藏
页数：4
相关论文
共 50 条
  • [1] A GREEN-KUBO FORMULA FOR THE SEDIMENTATION COEFFICIENTS
    RAINERI, FO
    TIMMERMANN, EO
    JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (06): : 3685 - 3688
  • [2] INTRINSIC-VISCOSITY FROM THE GREEN-KUBO FORMULA
    JAGANNATHAN, A
    OONO, Y
    SCHAUB, B
    JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (04): : 2276 - 2285
  • [3] GREEN-KUBO FORMULA FOR COLLISIONAL RELAXATION
    VISSCHER, PB
    JOURNAL OF CHEMICAL PHYSICS, 1988, 89 (08): : 5137 - 5139
  • [4] Asymptotic analysis of the Green-Kubo formula
    Pavliotis, G. A.
    IMA JOURNAL OF APPLIED MATHEMATICS, 2010, 75 (06) : 951 - 967
  • [5] GREEN-KUBO FORMULA FOR ELECTRICAL CONDUCTIVITY OF A DRIVEN 0-π QUBIT
    Rajpoot, G.
    Kumari, K.
    Joshi, S.
    Jain, S. R.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 213 (03) : 1727 - 1737
  • [6] Ab Initio Green-Kubo Approach for the Thermal Conductivity of Solids
    Carbogno, Christian
    Ramprasad, Rampi
    Scheffler, Matthias
    PHYSICAL REVIEW LETTERS, 2017, 118 (17)
  • [7] Non-local viscosity from the Green-Kubo formula
    Duque-Zumajo, D.
    de la Torre, J. A.
    Espanol, Pep
    JOURNAL OF CHEMICAL PHYSICS, 2020, 152 (17):
  • [8] Solution to the plateau problem in the Green-Kubo formula
    Espanol, Pep
    de la Torre, J. A.
    Duque-Zumajo, D.
    PHYSICAL REVIEW E, 2019, 99 (02)
  • [9] ON THE GREEN-KUBO FORMULA AND THE GRADIENT CONDITION ON CURRENTS
    Sasada, Makiko
    ANNALS OF APPLIED PROBABILITY, 2018, 28 (05): : 2727 - 2739
  • [10] LATTICE GAS HYDRODYNAMICS - GREEN-KUBO FORMULA
    FRISCH, U
    RIVET, JP
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1986, 303 (12): : 1065 - 1068
12345